# 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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1. ## 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
2. ## 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) ?
3. ## 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
4. ## 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
5. ## 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
6. ## 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.
7. ## 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
8. ## 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
9. ## 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?
10. ## Math

AB = 8 cm, AC = 6 cm, AD = 7 cm, CD = 2.82 and CAB=50°. The size of angle ABC, area of triangle ACD
11. ## 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 ?
12. ## 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
13. ## 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
14. ## 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
15. ## math

AB = 8 cm, AC = 6 cm, AD = 7 cm, CD = 2.82 and CAB=50°. (a) Find the length BC, (BC)^2 = (AB)^2 +(AC)^2 -2(AB)(AC)cosA (BC)^2 = 64 +36 - 96cos(50) BC =sqroot100-96cos(50) BC = 6.188 (b) angle ABC, (c) angle CAD , (d) area of triangle ACD
16. ## 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
17. ## 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
18. ## 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
19. ## 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.
20. ## 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
21. ## Math

Construct the triangle CAB with angle CAB 60 degree with AB 8cm and AC 9cm
22. ## 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?
23. ## 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?
24. ## Trigonometry/Geometry

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
25. ## math

A b C D is a quadralateral- Diagonal AC is drawn assume that angle cab is congruent to cad and ab=ad Is triangle abc congruent to adc?
26. ## 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?
27. ## 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)?
28. ## 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)?
29. ## 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
30. ## 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
31. ## 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
32. ## 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

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
34. ## 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
35. ## geomerty

The following triangles, Ä ABC and Ä DEF, are congruent. abc 67.38degree 12cm lenght 22.62degree b5cm,l,13cm Find the lengths of all missing sides and measures of all angles for both triangles. Include correct units with each of your answers. First
36. ## 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
37. ## Geometry

Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch the remainder of the figure. It will help if (triangle) ABC is not isosceles
38. ## Trig

a. What is the length of the hypotenuse of triangle ABC? b. What is the length of the shorter leg of triangle ABC? c. What is the length of the longer leg of triangle ABC? angle A=60, angle B=30, angle C=90 the triangle has a height of 10
39. ## 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
40. ## 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
41. ## 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
42. ## 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.
43. ## 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)?
44. ## 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)?
45. ## 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 ?
46. ## geomery

1. Triangle ABC has a 63.0-degree angle at B, and side AC is 13.6 cm long. What is the diameter of the circle circumscribed about ABC? 2. And: Given any triangle ABC, with sides a, b, and c opposite angles A, B, and C, respectively, what can be said about
47. ## geometry

1. Triangle ABC has a 63.0-degree angle at B, and side AC is 13.6 cm long. What is the diameter of the circle circumscribed about ABC? 2. And: Given any triangle ABC, with sides a, b, and c opposite angles A, B, and C, respectively, what can be said about
48. ## 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
49. ## Math

Which of the following values best approximates of the length of c in triangle ABC where c = 90(degrees), b = 12, and B = 15(degrees)? c = 3.1058 c = 12.4233 c = 44.7846 c = 46.3644 In triangle ABC, find b, to the nearest degree, given a = 7, b = 10, and C
50. ## 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.
51. ## 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?
52. ## 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.
53. ## Math

Which set of side lengths shows similar triangles? Triangle ABC : 40, 20, 50; Triangle XYZ: 10, 12.5, 10 Triangle ABC : 30, 20, 30; Triangle XYZ: 40, 30, 20 Triangle ABC : 110, 80, 60; Triangle XYZ: 12, 16, 22 Triangle ABC : 32, 20, 32; Triangle XYZ: 40,
54. ## HELP!!!!RIGHT NOW!!!!

Which set of side lengths shows similar triangles? (1 points) A) Triangle ABC : 40, 20, 50; Triangle XYZ: 10, 4, 8 B) Triangle ABC : 30, 20, 60; Triangle XYZ: 40, 60, 90 C) Triangle ABC : 110, 80, 60; Triangle XYZ: 6, 8, 5.5 D) Triangle ABC : 32, 20, 32;
55. ## 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}?
56. ## 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
57. ## 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.
58. ## math

Triangle $ABC$ is a right triangle with right angle at $A$. Suppose $\overline{AX}$ is an altitude of the triangle, $\overline{AY}$ is an angle bisector of the triangle, and $\overline{AZ}$ is a median of the triangle, and $\angle XAY = 13^\circ$. If $X$
59. ## Math

the triangle ABC., BC = 12cm, ABC = 80 degree and ACB = 30 degree Calculate the area of triangle ABC. asked by Kd today at 3:06pm angle BAC = 180-80-30 = .... now find AB using the Sine Law. Area of triangle = (1/2)(AB)(BC)sin80° = .... you do the
60. ## Trigonometry

Triangle ABC is a right triangle with right angle at C. CD is perpendicular to AB. BC=4 and CD=1. find the area of the triangle ABC.
61. ## 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
62. ## Math

Triangle ABC has angles measuring 137°, 15°, and 28°. Classify the triangle by its angle measures. right triangle acute triangle obtuse triangle multiangular triangle I thinks it's c
63. ## geometry

I need to figure out this proof, the figure is two triangles forming a rhombus. Given: segment BD is the angle bisector of triangle ABC and triangle ADC Prove: Triangle ABD is congruent to Triangle CBD So far I have segment BD is the angle bisector of
64. ## 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.
65. ## 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
66. ## 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
67. ## 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
68. ## 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.
69. ## Geometry

Given: 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 angle BDC and angle CBD is 4 more than angle BAD. What is the measure of angle ABC?
70. ## algrbra/trigonometry

in triangle ABC, angle a=120, b=10, and c=18. What is the area of triangle ABC tot he nearest square inch?

in triangle ABC, angle b is 5 more than twice angle A and angle C iss 35 less than three times angle A. Find the angles of triangle ABC
72. ## Maths

Triangle ABC has lengths AB=14, AC=18 and also a given angle of ∠BAC=30∘. What is the area of triangle ABC?
73. ## 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.
74. ## geometry

8. iN triangle ABC, a point D is on AC so that AB=AD. ANGLE ABC - ANGLE ACB = 30. IND ANGLE CBD. PLEASE TELL ME WHAT TO DO. I BEG YOU. PLEASE
75. ## Geometry

In triangle ABC, AD bisects angle A, BD=4 and CD=5. The perimeter of triangle ABC is 29. Find the lengths of AB and AC.
76. ## geometry

draw a triangle abc with abc ab =4.5 ,angle abc=35,angle acb=65
77. ## geometry

The medial triangle of a triangle ABC is the triangle whose vertices are located at the midpoints of the sides AB, AC, and BC of triangle ABC. From an arbitrary point O that is not a vertex of triangle ABC, you may take it as a given fact that the location

given that triangle ABC~ triangle XYZ, angle a=50, angle x=(2x+5y), angle z= (5x+y), and that angle b =(102-x), find angle z.
79. ## maths-urgently needed

In right angled triangle ABC angle B=90 degree and AB= root 34 unit. The coordinates of point B and Care (4,2)and (-1,y) respectively. If area of triangle ABC = 17 sq.units, then find value of y.
80. ## Mathematics

If triangle ABC and triangle XYZ,if angle A and angle X are acute angles such thay cosa=cosx then show that angle A=angle X?
81. ## math

If lines AB=6cm, AC=10cm, BC=2•4cm, CD=4cm and AD=X cm. Also angle ABC = angle ACD. (a).Prove that triangle ABC is similar to triangle ACD. (b).Determine the area of the quadrilateral ABCD if the area of triangle ACD is 60cm^2
82. ## geometry

the vertices of triangle ABC are A(1,7)B(9,3)C(3,1) a.prove that the triangle is a right triangle b.which angle is the right angle? c.which side is the hypotnuse? d.what are the coordinatesof the midpoint of the hypotnuse? e.what is the equation of the

Right triangle ABC is similar to triangle XYZ because angle B is congruent to angle Y. If angle C equals 27°,what is the measure of angle Z?
84. ## Math

In triangle ABC, a = 12, b = 10, and c = 9 . Find the measure of the largest angle in triangle ABC.

given that a(-1,8) ,b(2,4) and if the line y=4 is the axis of symmetry of triangle abc find c.show that triangle abc is an isosceles triangle,calculate the area of triangle abc,calculate the perpendicular distance from a to bc
86. ## geometry

Right triangle ABC is similar to triangle XYZ because angle B is congruent to angle Y. If angle C equals 33°,what is the measure of angle Z?
87. ## Trigonometry

ABC is a right triangle with AB = 2, BC = 3\sqrt{5}, AC = 7 and \angle ABC = 90^\circ. If \cos \angle BAC = \frac{a}{b}, where a and b are coprime positive integers, what is the value of a + b?
88. ## Geometry Honors

Can someone help me with Always, Sometimes, Never questions?? I have answered all of these, but I am not sure if they are right. 1. The base angle of an isosceles triangle are acute----Always 2. When the altitude and the median are drawn from the same
89. ## 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
90. ## 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
91. ## Geometry

Can you help me with Always, Sometimes, Never questions?? I have answered all of these, but I am not sure if they are right. 1. The base angle of an isosceles triangle are acute----Always 2. When the altitude and the median are drawn from the same vertex
92. ## 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
93. ## MATHS

In triangle ABC, BC is produced to D. If angle ACD = 110 degree and angle ABC = 70 degree. Find angle BAC. Give reason.
94. ## Math

The exterior angle at C if a triangle is ABC IS =120 degree find the measure of all the angles of a triangle if angle A= angle B
95. ## math

Triangle ABC undergoes a series of transformations to result in triangle DEF. Is triangle DEF congruent to triangle ABC ? Is it Congruent or Not congruent? 1.)) Triangle ABC is translated 3 units up and 5 units right, and then dilated by a scale factor of
96. ## Algebra 2 review

In triangle ABC, the ratio of the measure of angle A to the measure of angle B is 3:5. The measure of angle C is 20 more than the sum of the measure of angles A and B. What is the measure of each angle in triangle ABC?
97. ## math

Triangle ABC , BC = CD and (angle ABC - angle bac ) =30, the measure of angle and is?
98. ## Math

In a triangle ABC,AB=5cm,BC=12cm,angle ABC=90Â°calculate 1)the length of AC. 2)the area of the triangle 3)the length of the perpendicular from B to AC
99. ## math

Using a ruler and a pair of compasses only, construct triangle ABC in which angle BAC is 45 degrees, side AB is 7cm and side AC is 9cm. Locate P, inside the triangle ABC, which is 5cm from A and equidistant from B and C
100. ## math

In isosceles right triangle ABC, point D is on hypotenuse BC such that AD is an altitude of triangle ABC and DC = 5. What is the area of triangle ABC?