# this is my last one, in triangle ABC, mesurment of angle CAB is equal to 60 degrees and point D belongs to the line BC and AD is equal to 8 ft. Find the distances from D to the sides

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### geometry

this is my last one, in triangle ABC, mesurment of angle CAB is equal to 60 degrees and point D belongs to the line BC and AD is equal to 8 ft. Find the distances from D to the sides of the triangle. honestly i have absolutly no ideaon to how tosolve this can you give me an ...

### heeeeeeeeeeelp math

Triangle ABC has an obtuse angle at B, base BC has length equal to 30 and height equal to 24. D is a point on the line segment BC and E is a point on AC such that DE∥AB. F is a point on AB such that FD∥AC. As D varies within line segment BC, what is the maximum ...

### heeeeeeeeeeelp math

Triangle ABC has an obtuse angle at B, base BC has length equal to 30 and height equal to 24. D is a point on the line segment BC and E is a point on AC such that DE∥AB. F is a point on AB such that FD∥AC. As D varies within line segment BC, what is the maximum ...

### Math

In triangle ABC, measure of angle A is equal to 30 degrees, AC is equal to 4 and AB is equal to 3 square root of 3. Find BC

### math help mepls

Triangle ABC has an obtuse angle at B, base BC has length equal to 30 and height equal to 24. (This height is taken with respect to base BC). D is a point on the line segment BC and E is a point on AC such that DE∥AB. F is a point on AB such that FD∥AC. As D varies...

### Geometry

Please answer at least one . PLEASE 1. Triangle XYZ has a right angle at Y. V,W are on XZ such that XV=XY. WZ=YZ, find ANGLE VYW . 2. STUVWXYZ is a regular octagon. Find SW/ TZ. 3. The interior angles of a convex polygon form an arithmetic progression with a common difference ...

### Solid Mensuration 04/15/16

Given trinagle ABC whose sides are AB=15 in., AC=25 in., and BC=30 in. Form a point D on the side AB, a line DE i drawn to a pointE on side AC such that angle ADE is equal to angle ABC. If the perimeter of triangle ADE is 28 in., find the lengths of line segments BD and CE.

### Math

In the triangle ABC, angle ABC is x, angle BCA is x+40, and angle CAB is 2x. What is the measure of the largest angle (in degrees) ?

### Geometry

ABC is a triangle with area equal to 20 . The incircle of triangle ABC has radius equal to 2 and the circumcircle of triangle ABC has radius equal to 6 . If sinA+sinB+sinC=a/b , where a and b are coprime positive integers, what is the value of a+b ?

### maths

Triangle ABC has an obtuse angle at B, base BC has length equal to 30 and height equal to 24. (This height is taken with respect to base BC). D is a point on the line segment BC and E is a point on AC such that DE∥AB. F is a point on AB such that FD∥AC. As D varies...

### Maths

Triangle ABC has area equal to (90 X spuare root 3)/4 and perimeter equal to 30. Also, one of its angles is equal to 60∘. What is the product of the sides of ABC?

### Geometry

1. In an isosceles triangle that is not equilateral the angle between the congruent sides is called a ____ A> Leg B> Vertex C> Base D> Corollary <<<<<<<<THIS ONE 2. In triangle ABC, AB = CB, m<ABC = 4x-3, and m<CAB = x-3. What is m<...

### Math please help

In triangle ABC, we have <BAC = 60 degrees and <ABC = 45 degrees. The bisector of <A intersects line BC at point T, and AT = 24. What is the area of triangle ABC? How should i approach this?

### Genius Math

Triangle ABC has AC=BC, angle ACB=96 degrees. D is a point in ABC such that angle DAB=18 degrees and angleDBA=30 degrees. What is the measure in degrees of angle ACD? I got 42 degrees!

### Math

triangle PQR is translated 3 units ot the right and reflected over the line y=-1. The result is triangle P'Q'R'. Which is NOT true? 1) PQ = P'Q' 2)PQ/RQ = P'Q'/R'Q' 3)PQ + QR greater than or equal to R'P' 4)m angle P + m angle Q is greater than or equal to m angle R' Which one...

### Geometry

In acute triangle ABC, we have \angle CAB = 34 ^\circ . E is the foot of the perpendicular from B to AC. A point H is on BE is chosen, and X is the foot of the perpendicular from H to AB. What is the measure (in degrees) of \angle EHX?

### Geometry

In acute triangle ABC, we have \angle CAB = 34 ^\circ . E is the foot of the perpendicular from B to AC. A point H is on BE is chosen, and X is the foot of the perpendicular from H to AB. What is the measure (in degrees) of \angle of EHX?

### MATH_URGENT

Point X is on side \overline{AC} of \triangle ABC such that \angle AXB =\angle ABX, and \angle ABC - \angle ACB = 39 degrees. Find \angle XBC in degrees.

### geometry

find the remaining sides and angles for the triangle ABC, if b=48 m<a=36 degrees and angle C is a right angle. what does angle C equal ?

### Maths Congruence

(1)Are two triangles congruent if two sides and an angle of one triangle are equal to two sides and an angle of the other?If not then under what conditions will they be congruent? (2)How to construct Triangle(ABC) and Triangle(PQR)such that they are equal in area but not ...

### Math

A line 'l' intersects line 'm' at point A at 45 degree angle. B and C are points on line m, where the distance from B to A is equal to the distance from A to C. How many points on line 'l' are equidistant from points B and C? How is it one point? And this one point on line 'l...

### math

Find, correct to the nearest degree, the three angles of the triangle with the given vertices.? A(2, 0),B(4, 5), C(-3,2) ANGLE- CAB ANGLE- ABC ANGLE- BCA In degrees. I got the vectors AB <,5> BC <1,3> AC <-1,2> and I know the equation b.c= |b| |c| cos t

### Geometry

Given: in triangle ABC, angle B= 120 degrees Prove: angle A does not= 60 degrees Plan: use indirect proof Assume temporarily that Measure angle A = 60. Then measure angle C=60, and measure angles A+B+C=180= 60+B+60=180. Therefore the temporary assumption that measure angle A=...

### PLEASE HELP!!!!! (Right Triangle Question)

Point N is on hypotenuse BC of triangle ABC such than angle CAN is 45 degrees. If AC=8 and AB=6, find AN. I did Pythagorean Theorem for triangle ABC, and hypotenuse BC will be 10. I don't know how to continue from there. Oh, I'm also unsure about this, but if angle CAN is 45 ...

### help math

In triangle ABC, points D,E,F are on sides BC,CA,AB respectively such that AD,BE,CF are angle bisectors of triangle ABC. The linesAD,BE,CF are concurrent at I,the incenter of triangle ABC. If Angle BAC=90, what is the measure (in degrees) of Angle EIF?

### Geometry

Writing indirect proofs. Can someone please check for me. I am not sure If this is correct.Thanks much Given: triangle ABC angle B=120 degree Proof: Triangle A does not equal 60 degree Plan: Using an indirect proof, using the paragraph method My answer. Assume temporarily that...

### geometry

given" triangle KL, LM=12 measure of angle k=60 mesure of angle m=45 find the perimeter is got the angle L is 75 (sum of angles therom) land then I drew a line from point k to line LM the line forms a right angl (by construction). the point that meets LM is point O and angle ...

### geometry

Jim has put a fence along the side AC of the triangular patch of land shown below. A right angle triangle ABC is shown having length of one leg equal to 6 meters. The measure of angle ABC is 90 degrees. A fence is shown on the hypotenuse of the triangle. The length of the ...

### Math(Geometry)

In the diagram below(no diagram but details will be provided), right triangle ABC and line BD is an altitude to side line AC. * Prove that (AB)^2=(AC)(AD) -When you label the triangle B should be were the right angle is C should be at the top of the triangle and it should be ...

### Math

Line a intersects line b, forming angles of 135 degrees and 45 degrees. A third line,line c, is perpendicular to line a and forms triangle ABC. What is the measure of the angle between lines b and c? a. 35 degrees b. 45 degrees c. 90 degrees d. 135 degrees e. Can't be ...

### pls help w/t math ?

in a right triangle ABC, if ab is 14 and bc is 12 wut is bd? there is a pic of a large trangle abc and in it is a line drawn down angle c making it line cd. angle acd then becomes a right trangle as well. i tried working = proportions and pyth thm but i don't seem to be ...

### Math

In triangle ABC, AB = 10, AC = 8, and BC = 6. Let P be the point on the circumcircle of triangle ABC so that angle PCA = 45 degrees. Find CP.

### math

Point X is on side of line AC of triangle ABC such that <AXB = <ABX, and <ABC - <ACB = 39 degrees. Find <XBC in degrees.?

### Geometry

Can I get help starting this exercise:- Let triangle ABC be such that AB is not congruent to AC. Let D be the point of intersection of the bisector of angle A and the perpendicular bisector of side BC. Let E, F, and G be the feet of the perpendicular dropped from D to line AB...

### Math

Triangle ABC is similar to triangle APQ, with angle CBA equal to angle QPA and angle A common to both triangles. The lengths of sides AB, AP and PQ are 90 cm, 60 cm and 30 cm. Calculate the length of side BC.

### maths

Choose three options which are true: a) an angle of 150 degrees is equivalent to 2pie/3 radians. b) Cos 0 = cos (0 – pie/2) for al values of 0. c) Sin 0 = cos (0 – pie/2) for all values of 0. d) If triangle ABC has a right angle at B, then sin A = cos C e) In any triangle ...

### trigo

In a right tringle ,angle ABC has a value of 37 degree while its opposite side is equal to 5,where angle c=90 degree Find A.)Remaining sides of the triangle B.)Angle ABC using any trigonometry Functions

### math

One interior angle of a triangle has a measure that is equal to the sum of the measures of the other two angles of the triangle. What is the measure of the smallest exterior angle of the triangle in degrees?

### math:)

If the given point is on the terminal arm of an angle A in standard position, angle A is greater than or equal to 0 degrees and it is less than or equal to 180 degrees, find the measure of angle A, to the nearest tenth of a degree. a) (4,3) b) (12,5) c) (-6,8) d) (-24,7) ...

### Geometry

ABC is an acute triangle with \angle BCA = 35 ^\circ. Denote the circumcenter of ABC as O and the orthocenter of ABC as H. If AO=AH, what is the value of \angle ABC (in degrees)?

### maths

ABC is an acute triangle with \angle BCA = 35 ^\circ. Denote the circumcenter of ABC as O and the orthocenter of ABC as H. If AO=AH, what is the value of \angle ABC (in degrees)?

### geometry

TWO COLUMN TRIANGLE PROOF Given: line AB is parallel to line DE, and line AD bisects line BE Prove: triangle ABC is congruent to triangle DEC by using the ASA (angle-side-angle) postulate

### Maths, Problem solving

In this triangle, angle BAC is 25% of the size of angle ABC. Angle ACB is 90 degrees less than triangle ABC. What is the Size of angle ABC?

### Geometry

Given triangle ABC, AD bisects angle BAC,and AE=ED Prove AE/AC=BD/BC Because I cant draw it I will explain. Its a triangle, A is the point at the top, B is the point at the bottom left and C is the point at the bottom right.There is a line going right down the middle, which is...

### maths

DRAW LOCUS OF POINT SO THAT IT IS EQUIDISTANT FROM BC & CA . ... constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch ... 16) AB = 3.2cm BC = 8.4cm The area of the triangle ABC is 10cm². ... CONSTRUCT ANGLE ABC WHERE AB=...

### Precalculus

In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in which...

### 8th grade Math

In a quadrilateral , angle CAB is divided into two comgruent angles by line AD. What is the measure, in degrees of angle DAB. Angle B and D are 90 degrees. angle C equals 45 degrees.

### math

in triangle abc ad is bisector of angle a and angle b is twice of angle c prove that angle bac is equal to 72

### geometry

i am lost on this one TAKE Three points K,L,M on sides BC,CA,AB of the triangle ABC. Prove that at least one of the triangles AML,BKM,CLK has area less than or equal to 1/4 area of triangle ABC

### Math

In triangle ABC, points D,E,F are on sides BC,CA,AB respectively such that AD,BE,CF are angle bisectors of triangle ABC. The lines AD,BE,CF are concurrent at I, the incenter of triangle ABC. If ∠BAC=92∘, what is the measure (in degrees) of ∠EIF?

### geometry/trigonometry

Triangle ABC is similar to triangle APQ with angle CBA equal to angle QPA and angle A common to both triangles. the length of sides AB, AP and PQ are 90cm,60cm and 30 cm. calculate the length of the side BC

### Math

Prove that angle a is equal to angle E if angle D is equal to angle c Science I can't put the picture of the triangle I will try and explain it Two triangles that connect on one angle >< like this but a triangle and the angle in the middle ^ ( the angle that has the ...

### Math (triangles)

Given b=48, A=36 degrees find the remaining parts of the right triangle. B= a)144 degrees b)154 degrees c)54 degrees d)64 degrees We know that one angle equals 36 and since it is a right triangle another must equal 90. The sum of the angles of a triangle is 180 meaning that we...

### heeeeeeeeeeeeeeeeeeeelp maths

In triangle ABC, points D,E,F are on sides BC,CA,AB respectively such that AD,BE,CF are angle bisectors of triangle ABC. The lines AD,BE,CF are concurrent at I, the incenter of triangle ABC. If ∠BAC=92∘, what is the measure (in degrees) of ∠EIF?

### math

in triangle ABC, line BF is angle bisector of angle ABC, line AE, line BF and line CDare medians, and P is the centriod. find Xif DP = 4x-3 and CP=30

### geometry

In triangle ABC, X and Y are the midpoints of BC and AC, respectively. The perpendicular bisectors of BC and AC intersect at a point O inside the triangle. If angle C = 47 degrees, then find the measure of angle XOY?

### math

AB = 8 cm, AC = 6 cm, AD = 7 cm, CD = 2.82 and CAB=50°. Find the length BC, angle ABC, angle CAD , area of triangle ACD

### math

AB = 8 cm, AC = 6 cm, AD = 7 cm, CD = 2.82 and CAB =50°. Find the length BC, angle ABC, angle CAD , area of triangle ACD.

### geometry

Triangle ABC is a right triangle such that m angle B= 90 degrees. If AC= 12 and BC=9, what is the perimeter of triangle ABC ? round to the nearest tenth.

### math geometry ITT

so i know that when you have an isosceles triangle has 2 equal sides, and the 2 angles created by those sides are also equal . if a question gives me the angle at the top ( which is 40 degrees ), how do i find the 2 equal angles at the bottom ?

### Geometry Proofs

Trying to solve a proof. Triangle ABC. D is a point on side AC and E is a point on side BC. There is a line from Angle B to Point D and a line from Angle A to Point E. My Givens are AD = BE and BE>AE. I need to prove BC>AC. This is for my 7th grade geometry class. Thank ...

### Geometry

ABC is an acute angle triangle with points D and E on BC and AC, respectively such that BE and AD are altitudes. AD and BE intersect at H. If \angle BCA = 39 ^\circ and \angle EBA = 2 \angle DAB , what is the measure of \angle ABC (in degrees)?

### Geometry

ABC is an acute angle triangle with points D and E on BC and AC, respectively such that BE and AD are altitudes. AD and BE intersect at H. If \angle BCA = 39 ^\circ and \angle EBA = 2 \angle DAB , what is the measure of \angle ABC(in degrees)?

### Math

One of the angle of a triangle is 110 degree and other two angles are equal. What is the measure of each of these equal angle.

### trigonometry

the base of an isosceles triangle measures 108 feet and forms an angle of 55 degrees with one equal sides. find the perimeter of the triangle

### GEOMETRY TRIANGLE

IN TRIANGLE ABC, A POINT D IS ON AC SO THAT AB=BD. ANGLE ABC - ANGLE ACB = 30. FIND ANGLE CBD HELP NNNNNDEEEEEDDDD PLEASE

### Math

line BC is one side of a regular n-gon. The sides next to line BC are extended to meet at W. Find the measure of angle W in terms of n That's a triangle. Use the facts about the relationships between the angles. If the ngon is regular, then all sides are equal, and all angles ...

### geometry

In triangle ABC, if line BC is one inch longer than line AB, line AC is 10 inches shorter than the sum of line BC and line AB , and the perimeter of triangle ABC is 72 inches, find the length of line BC?

### math

When the measures of the angles of a triangle are placed in order, the difference between the middle angle and smallest angle is equal to the difference between the middle angle and largest angle. If one of the angles of the triangle has measure 23 degrees, then what is the ...

### math

When the measures of the angles of a triangle are placed in order, the difference between the middle angle and smallest angle is equal to the difference between the middle angle and largest angle. If one of the angles of the triangle has measure 23 degrees, then what is the ...

### math

In triangle ABC, angle A = 80 degrees. The bisector of angle B and angel C intersect at point P. Angle BPC = what?

### MATH

In a triangle ABC, angle A is 2 times angles C and angle B is 20 degrees less than angle C find the number of degrees in these angles In a triangle ABC, angle A is 2 times angles C and angle B is 20 degrees less than angle C find the number of degrees in these angles A = 2C B...

### maths-constructions

Construct a rhombus ABCD in which AB= 6 cm and angle ABC= 60degree. Divide it into two triangle ABC and ADC. Construct a triangle AB 'C ' similar to triangle ABC with scale factor 2/3. Draw a line segment C 'D ' parallel to CD, where D ' lies on AD. Is AB 'C 'D ' a rhombus

### math

In triangle ABC, angle C is congruent to angle A, line BC=2x-5, line AB=x+5 and line AC=x+10. Find x. The problem didn't have a triangle drawn so i drew it myself. I tried many equations but when i substitute it it didn't work.

### geometry

In the figure below, the measure of arc AC is 88 degrees if angle ABC is equal to 88 degrees.

### Trigonometry/Geometry - Law of sines and cosines

In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in which...

### MATH_URGENT

Let M be the midpoint of side \overline{AB} of \triangle ABC. Angle bisector \overline{AD} of \angle CAB and the perpendicular bisector of side \overline{AB} meet at X. If AB = 40 and MX = 9, then how far is X from line {AC}?

### math

Let P and Q be the points on the sides AB and BC of a triangle ABC respectively such that BP = 3PA and QC = 2BQ. Let K be the midpoint of the segment PQ. Prove that the area of the triangle AKC is equal to 11S/24, where S is the area of the triangle ABC.

### math

Determine whether the following argument is correct. If it's not correct, explain what is wrong with ther argument and change the minor premise to make a correct argument. If a triangle is equilateral, then it has three equal sides. Triangle ABC doesn't have three equal sides...

### math

Determine whether the following argument is correct. If it’s not correct, explain what is wrong with the argument and change the minor premise to make a correct argument. If a triangle is equilateral, then it has three equal sides. Triangle ABC doesn’t have three equal ...

### geometry!!! please help me!!!!

ABC is a triangle with ∠ACB=45∘. D is a point on AC such that AD=2DC. If ∠ADB=60∘, what is the measure (in degrees) of ∠CAB?

### geometry

Find m<ABC if line BD is an angle bisector of angle ABC and m<ABC = 4x - 5 degrees and angle b is x + 6 degrees

### Trigonometry

(Triangle ABC is scalene) AC is a straight shore line and B is a boat out at sea. Angle A is 60 degrees and Angle C is 45 degrees. Find the shortest distance from the boat to the shore if A and C are 5km apart...I honestly have no idea where to start with this. I drew it out, ...

### Math

1. Hannah drew a pattern using only equilateral triangles. Which of the following statements about the angles is an equilateral triangle is true? A. The measurement of each angle is 60 degrees** B. The measurement of each angle is 120 degrees C. The measurement of one angle is...

### precalculus

graph the parabola y=2x^2-6x-3. plot point on the parabola A[1,-7] and draw a line through A with an angle of inclination equal to 30 degrees. then find the equation of the line and its second point of intersection B, with the parabola

### math

The base of triangle ABC is one half the altitude.The altitude of triangle DEF is one half its base. If both triangles are equal in area, what is the ratio of the altitude of triangle ABC to the altitude of triangle DEF ? a. 1:4 b. 1:2 c. 1:1 d. 2:1 e. 4:1 please answer and ...

### math

The base of triangle ABC is one half the altitude. The altitude of triangle DEF is one half its base. If both triangles are equal in area, what is the ratio of the altitude of triangle ABC to the altitude of triangle DEF? a. 1:4 b. 1:2 c. 1:1 d. 2:1 e. 4:1 please answer and ...

### geometry

obtuse triangle ABC with obtuse angle B. Point D on side AC such that angle BDC is also obtuse. Angle DAB is 2/3 of angle ABD. Angle BCD is 1/5 of angle CBD is 4 more than angle BAD. Find the measure of angle ABC.

### trig

AB = 8 cm, AC = 6 cm, AD = 7 cm, CD = 2.82 and CAB=50° (a) the length BC (b) The size of angle ABC; (c) The size of angle CAD (d) The area of triangle ACD

### math

AB = 8 cm, AC = 6 cm, AD = 7 cm, CD = 2.82 and CAB=50° (a) the length BC (b) The size of angle ABC; (c) The size of angle CAD (d) The area of triangle ACD

### basic geometric

a would like to get someone too help me with these math problem. Two angles of a triangle are 40 degrees and 62 degrees; what is the third angle's measur? answered below. Interior angles of a triangle is equal to 180 degrees. A triangle only has 3 angles. You have two of them ...

### geometry

triangle ABC is isosceles with AC = BC and <ACB = 106 degrees. Point M is in the interior of the triangle so that <MAC = 7 degrees and <MCA = 23 degrees. Find the number of degrees in <CMB

### math

AB = 8 cm, AC = 6 cm, AD = 7 cm, CD = 2.82 and CAB=50°. Calculate to 2 decimal places (a) the length BC (b) The size of angle ABC; (c) The size of angle CAD (d) The area of triangle ACD

### Math HELPP!!

Eric Drew and up to's triangle. Which of the following could be true for Eric's triangle. A: all three angles have equal measures B: possible angle measures of the triangle are 92, 48, and 40•• C: two of the angles are equal, and the third angle has a measure of 70. D: One...

### math

In an Isosceles triangle, one angle is 16 degrees more than twice the measure of one of the equal angles. Find the measure od eah angle.

### geometry

Points D, E, and F are the midpoints of sides \overline{BC}, \overline{CA}, and \overline{AB} of \triangle ABC, respectively, and \overline{CZ} is an altitude of the triangle. If \angle BAC = 71^\circ, \angle ABC = 39^\circ, and \angle BCA = 70^\circ, then what is \angle EZD+\...

### geometry

Points D, E, and F are the midpoints of sides \overline{BC}, \overline{CA}, and \overline{AB} of \triangle ABC, respectively, and \overline{CZ} is an altitude of the triangle. If \angle BAC = 71^\circ, \angle ABC = 39^\circ, and \angle BCA = 70^\circ, then what is \angle EZD+\...

### Geometry

Points D, E, and F are the midpoints of sides \overline{BC}, \overline{CA}, and \overline{AB} of \triangle ABC, respectively, and \overline{CZ} is an altitude of the triangle. If \angle BAC = 71^\circ, \angle ABC = 39^\circ, and \angle BCA = 70^\circ, then what is \angle EZD+\...

### Maths

The points A(1,5) and B(9,3) are part of a triangle ΔABC. The triangle has a right angle at A and and sides satisfy AB=2AC. Find a point C such that C lies above the line AB.