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Prove that angle ABC is a isosceles triangle,if the altitude AD BISECTS THE BASE BC

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geometry
in an isosceles trapezoid, ABCD, AD congruent BC. diagonal AC bisects angle DAB. if the measure of angle CAB = 15, find: the measure of angle b, measure of angle BCA, measure of ACD, and the measure of angle D

Maths Constructions
How to construct a Triangle ABC in which base BC=4.8 cm, Angle B=90° and hypotenuse AC=6.2 cm.

Math
The base of an isosceles triangle is one inch shorter than the equal sides, and the altitude of the triangle is two inches shorter than the equal sides. What is the length of the equal sides?

math
If ray BD bisects right angle ABC, the measure of angle ABD is?

Math
I need help with this specific proof: Given: CE bisects Angle ABD FB and CE are strraight line segments Prove:angle x = Angle a

mats
AD is the mid point of triangle ABC and G divides AD in the ratio 2:1 .Prove that triangle AGB =area BGC = area AGC =1÷3 area ABC

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?

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

Geometry
Given: Line segment AD bisects angle BAC. Angle 1 is congruent to angle 3. Prove: Angle 2 is congruent to angle 3 Write a two-column proof

Geometry
Given: segment AB is congruent to segment BC; angle 1 is congruent to angle 2 Prove: triangle ABC is congruent to triangle DEC

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 the three ratios a/...

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 the three ratios a/...

8th Grade Geometry
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.

Trig
An isosceles triangle has legs 4 feet long. If the vertex angle measures 30 degrees, find the length of the base.

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.

Geometry
True or False: If a ray bisects an angle of a triangle, then it also bisects the side opposite the angle. If a plane intersects a cylinder, then the intersection must be a circle. I think the first one is true and the second one is false.

Geometry
True or False: If a ray bisects an angle of a triangle, then it also bisects the side opposite the angle. If a plane intersects a cylinder, then the intersection must be a circle. I think the first one is true and the second one is false.

Math
The two equal sides of an isosceles triangle are each 24 centimeters. If each of the two equal angles measures 60, find the length of the base and the altitude. (leave your answer in radical form).

math
In parallelogram ABCD,M is the mid point of diagonal BD;if BM bisects angle ABC,then what is the measurement of angle AMB?

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=...

Solid Mensuration
A triangle has a base of 16 inches and an altitude of 8 inches. Find the dimensions of the largest rectangle that can be inscribed in the triangle if the base of the rectangle coincides with the base of the triangle.

math helper plese
2 isosceles triangles have the same height. The slopes of the sides of triangle A are double the slopes of the corresponding sides of triangle B. How do the lengths of their bases compare? A. The base of A is quadruple that of B. The base of A is double that of B. C. The base ...

MATH
Complete Problem 34 in Section 5.2 Exercises (Ch. 5) of Essentials of Geometry for College Students. 34. Given: ABC,/ AD bisects <BAC, and /AE=/ED Prove: AE/AC = BD/BC

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

Pre-Calc.
The two equal sides of an isosceles triangle are each 24 centimeters. If each of the two equal angles measures 60, find the length of the base and the altitude. (leave your answer in radical form).

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?

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

Geometry
What is the measure of the complement of a 67 degree angle? The measure of the vertex angle of an isosceles triangle is 58. What is the measure of one of the base angles?

Geometry / Proofs
Given: Triangle ABC with AD bisecting angle BAC, and AE is congruent to ED (both line segments). Prove: AE/AC = BD/BC. Statements Reasons

math
a rectangle and a triangle have equal areas. if the base of the triangle is 32 inches,what is the lenght of the altitude drawn to the base? a)12 b)16 c)6 d)8 e)9

Geometry..
Given: A(3,-1), B(5,2), C(-2,0), P(-3,4), Q(-5,-3), R(-6,2). Prove: angles ABC and RPQ are congruent by completing the paragraph proof. AB=RP=13, BC=(?)=53, and CA=QR=26. So segment AB is congruent to (?), segments BC and PQ are congruent and segment CA is congruent to segment...

math
the perimeter of isosceles triangle is 70 d. of the length of a leg of the triangle is 5 dm less than twice the lenth of the base, find the lengths of the sides of the triangle.

Algebra
the altitude of a triangle is 3m less than half its base. If the area of the triangle is 300 m^2 find the measure of the base.

8th grade
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?

math
a rectangle with side of 6 cm and 5 cm has the same area as an isoceles triangle with base length 12 cm.find the altitude to the base of the triangle and side of the triangle

math
triangle ABC is an isoscles triangle and semicircle, have same base AB and same area. Find the base angles of the triangle.

math
Isosceles Triangle ABC is inscribed in a circle with radius 12cm. Aide AB is a diameter. Determine the perimeter of the triangle, correct to one decimal place.

Geometry
Given a triangle ABC with A(6b,6c) B(0,0) and C (6a,0), prove that the medians of the triangle are concurrent at a point that is two thirds of the way from any vertex to the midpoint of the opposite side. I'm not sure how to prove this. I tried and when I got to finding the ...

math
Triangle ABC is right-angled at B. Segment BD is an altitude of the triangle. AB=6 and CD=5. What is the value of x+y+z+1?

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

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?

Math
Two different isosceles triangles with perimeter 4a+b? Is this a right angle isosceles triangle?

geometry
Prove a triangle is an isosceles triangle ith P(2,3) A(5,7) and T1,4)

maths
The triangle has vertices A(0,1),B(1,6) and C(5,2).Prove that the triangle is isosceles.

math
This question is suppose to be simple but i keep getting it wrong Triangle LMN has vertices L(1, 6), M(6, 3) and N(5, 7). What type of triangle is Triangle LMN? Select all that apply Scalene triangle Right triangle Isosceles triangle Equilateral triangle Obtuse triangle Acute ...

geometry
The perimeter of right triangle RST is equal to the perimeter of isosceles triangle XYZ. The lengths of the legs of the right triangle are 6 and 8. If the length of each side of the isosceles triangle is an integer. what is the greatest possible length for one of the sides of ...

Algebra II
The area of a triangle varies jointly as its base and altitude. By what percent will the area change if the base is increased by 15% and the altitude decreased by 25%?

Math
The area of a triangle varies jointly as its base and altitude. By what percent will the area change if the base is increased by 15% and the altitude decreased by 25%?

Algebra II
The area of a triangle varies jointly as its base and altitude. By what percent will the area change if the base is increased by 15% and the altitude decreased by 25%?

Algebra II
The area of a triangle varies jointly as its base and altitude. By what percent will the area change if the base is increased by 15% and the altitude decreased by 25%?

Math
The area of a triangle varies jointly as its base and altitude. By what percent will the area change if the base is increased by 15% and the altitude decreased by 25%?

geometry
Find the measure of the vertex angle of an isosceles triangle if either of the exterior angles formed by extending the base measures of 112

geometry
In right triangle ABC, measure of angle ACB= 90 and segment CD is the altitude to the hypotneuse AB. Ad= 6 cm and BD= 4 cm. Find the length of segment CD to the nearest hundredth.

math
The longer base of an isosceles trapezium is 20 cm, its legs are 10cm. The legs of the trapezium are extended by 8 cm long to gain an isosceles triangle.Find the shorter base of the trapezium. Please help me:)

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?

trig
the length of the base of an isosceles triangle is 30.42 inches. each base is 26.54 degrees. find the length of the two equal sides of the triangle to the nearest hundredths. i get 15.19. is that right?

Math
What is the volume of the right prism with height h=14 cm, if the base of the prism is a triangle ∆ABC with side AB = 9 cm and altitude to that side h= 6 cm.

honors/Geometry
how do you write out proofs? To be more specific with my question, how do you find the alternate exterior angles theorem? Be sure the result is not a postulate. If it is then there's nothing to prove, it's given. If it is a theorem -a provable statement- then review the ...

math
If line BD bisects Angle ABC with the measure of abd= 5x+8 and the measure of dbc= 9x-14, then find the measure of ABC.

math
The vertices of a triangle are listed below. H(-2,4), I(22,4), J(10,-1) Which of the following correctly classifies the triangle? 1.The triangle is an obtuse isosceles triangle. 2.The triangle is a right scalene triangle. 3.The triangle is an obtuse scalene triangle. 4.The ...

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.

trigonometry 28
In triangle ABC , if angle c=90°,then prove that sin^2 A+sin^2 B=1.

Math (Proportions)
3. The ratio of the altitude of a triangle to the length of its base is 5:12. Calculate the altitude if the length of the base is 42mm. 17.5 length/base= 5/12=x/42= 17.5

geometry
find x, if ABC is an isosceles triangle with AB=BC

college algebra
if the altitude and the base of a triangle are each increased by 4 inches the area of the triangle will be increased by 42 square inches. if the altitude is increased by 3 inches and the base is decreased by 2 inches the area will be increased by 5 square inches. find the base...

Geometry....
the triangle is named ACB and E is the intersection of AT which bisects CB, BR which bisects AC and CS which bisects AB. CS, RB, and AT are all medians. ES, RE and ET equal 3x. I can't figure this out at all. Please explain. Thanks

math
Determine whether you can construct many, one, or no triangle(s) with each description. a)An isosceles triangle with angle measures of 40° and 100° b)A right triangle with three congruent sides c)A scalene triangle with side lengths of 7 cm, 3 cm, and 9 cm

geometry
given: line DF congruent line EF; line DF perpendicular line AB; line EF perpendicular BC. prove line BF bisects angle ABC

Geometry
In quadrilateral exam EA intersects XM at G and XM bisects angle EXA and angle EMA Prove EG is congruent to GA Can you please help me

Math geometry
1) The base angles of an isosceles triangle are (50-x)^6 and (30x-12)^6 what is the vertex angle? 2) The area of a trapezoid is 52cm^2 if it's bases are 8 cm apart find the sum of their heights 3) What is the area of a circle inscribed inside an equilateral triangle whose area...

maths
if bisector of any angle of triangle bisects he opposite side then it is isoceles triangle

pre calculus
The base of an Isosceles triangle is half as long as the two equal sides. Write the area of the triangle as a function of the length of the base. the answer is: A=a^2times the square root of 15 ------------------------------ 4 How did they get this answer? Thanks!

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?

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.

Math
the altitude, AD, to the hypotenuse BC of right triangle ABC divides the hypotenuse into segments that are 8 and 10 cm long. find the length of the altitude.

Math
Answer with Always, Sometimes or Never True. Kindly explain why so that I can understand. Thanks. 1. An interior angle and an exterior angle of a triangle are supplementary. 2. The bisector of an angle of an isosceles triangle is also a perpendicular bisector. 3. The sum of ...

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 ...

angles
one angle of an isosceles triangle is 40 degrees. what are the two possible sizes for the larger angle(s) in this triangle?

Geometry
In right triangle ABC, the median to the hypotenuse has length 15 units and the altitude to the hypotenuse has length 12 units. What is the legth of the shorter leg of triangle ABC?

geometry
In an isosceles triangle, if a base angle has a measure of 43 degrees, then the vertex angle must have a measure of 80 degrees as well.

Math
Two isosceles triangles have perimeters of 8 and 15 centimeters, respectively. They have the same base length, but the legs (the non base sides) of the larger triangle are twice as long as the legs of the smaller triangle. For each triangle, what is the length of a leg?

Math- Geometry Proofs
What are some ways to prove that a triange is isoscles? i have to make a two column proof based on a problem. What is the exact problem I need help with my geometry homework. We are doing proofs and i need some help because proofs are really hard!! def. isosceles -or- if two ...

math
The base of an isosceles triangle is four less than the sum of the lengths of the legs. If the perimeter of the triangle is 44, find the length of the three sides of the triangle.[ Only an algebraic solution will be accepted ]

geometry
Isosceles triangle ABC has vertices at A(0, 0), B(8, 0), and C(x, 12). The value of x could be

Geometry
Isosceles triangle ABC has vertices at A(0, 0), B(8, 0), and C(x, 12). The value of x could be

precalc
Is triangle ABC scalene, isosceles, or equilateral if A = (4, 6) B = (-4, 2) and C = (0, 2)? Why?

geometry
I can't figure out this problem, help would be much appreciated! Suppose line BC bisects angle ABE, and D is the interior of angle ABC. If m-angle CBD=28 degrees, and m-angle ABE=136 degrees, find m-ABD.

Geometry: Ms. Sue or Steve or someone help please?
Given a triangle ABC with A(6b,6c) B(0,0) and C (6a,0), prove that the medians of the triangle are concurrent at a point that is two thirds of the way from any vertex to the midpoint of the opposite side. I'm not sure how to prove this. I tried and when I got to finding the ...

Math
Prove that if the sides of one angle are parallel to the sides of another angle, the angles are congruent. Given: BA||ED, BC||EF, AND BEG Prove:angle ABC is congruent to angle DEF

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

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

Geometry
In $\triangle ABC$, we have $AB = AC = 13$ and $BC = 10$. Let $M$ be the midpoint of $\overline{AB}$ and $N$ be on $\overline{BC}$ such that $\overline{AN}$ is an altitude of $\triangle ABC$. If $\overline{AN}$ and $\overline{CM}$ intersect at $X$, then what is $AX$?

math
4. Name a pair of corresponding angles. (1 point) 1 and 6 2 and 6 3 and 5 4 and 5 5. if m <4 = 105° then what is the m<8 105 75 175 25 6. ACB is congruent to which angle? (1 point) ZYX XYZ XZY YXZ 7.Side CA is congruent to which side? (1 point) ZX YX XY YZ 8.Translate ...

Precalculus
The sides of an isosceles triangle are 10 cm, 10 cm, and 12 cm. A rectangle is inscribed in the triangle with one side on the triangle's base. The other two vertices of the rectangle are on the triangle's legs. Find the Maximum Area of the Rectangle.

algebra
Find the number of degrees in the measure of one of the base angles of an isosceles triangle, if the measure of the vertex angle is 36 degrees less than the sum of the measures of the base angles.

geometry
Find the number of degrees in the measure of one of the base angles of an isosceles triangle, if the measure of the vertex angle is 36 degrees less than the sum of the measures of the base angles.

Geometry
Write an indirect proof that an obtuse triangle does not have a right angle. Given: Triangle RST is an obtuse triangle. Prove: Triangle RST does not have a right angle. Let angle S be an obtuse angle. Assume Triangle RST has a right angle. Let angle R be a right angle. Use ...

Geometry
Triangle $ABC$ is isosceles with point $A$ at the point $(2, 7)$, with point $B$ at $(-2, 0)$ and with point $C$ at $(3, -1).$ Triangle $ABC$ is reflected over $\overline{BC}$ to form $\triangle A'BC$. Triangle $A'BC$ is reflected over $\overline{A'C}$ to form $\triangle A'B'C...

geometry
find the length of ab & bc of a triangle abc having given the length of ac = 28inch, angle abc = 90, angle bac =30,, angle acb = 60

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