Thursday
December 8, 2016

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

Number of results: 31,937

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.
October 1, 2012 by Rayne

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).
November 27, 2014 by anonymous

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?
May 27, 2016 by Rubi

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=...
June 12, 2007 by DANIELLE

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 ...
January 17, 2011 by Kelly

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.
August 19, 2015 by Jean

geometry
draw a triangle abc with abc ab =4.5 ,angle abc=35,angle acb=65
November 26, 2012 by mudit

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
June 17, 2013 by BJ

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).
November 27, 2014 by anonymous

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
August 6, 2007 by saurabh shado

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?
February 28, 2012 by helen

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
August 27, 2013 by Lisa

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...
July 26, 2011 by Wendell

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.
January 15, 2011 by lou

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?
June 23, 2010 by Anonymous

math
triangle ABC is an isoscles triangle and semicircle, have same base AB and same area. Find the base angles of the triangle.
April 23, 2013 by molly

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
October 2, 2007 by christal

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.
February 11, 2012 by Sarah

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
July 21, 2016 by dcs

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.
July 26, 2009 by Amy

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 ...
October 24, 2013 by Cecilia

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...
November 21, 2013 by Sam

Math
In triangle ABC, a = 12, b = 10, and c = 9 . Find the measure of the largest angle in triangle ABC.
October 1, 2016 by Help

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?
September 8, 2010 by jon

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 ...
December 12, 2011 by HSutha

Math
Two different isosceles triangles with perimeter 4a+b? Is this a right angle isosceles triangle?
September 17, 2008 by Dan

geometry
Prove a triangle is an isosceles triangle ith P(2,3) A(5,7) and T1,4)
April 9, 2011 by neil

maths
The triangle has vertices A(0,1),B(1,6) and C(5,2).Prove that the triangle is isosceles.
February 27, 2012 by mulinda

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?
March 4, 2010 by Jesus

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
December 1, 2011 by tina

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:)
January 31, 2013 by Brigitta

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.
May 23, 2012 by Colleen

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?
April 28, 2011 by Beth

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%?
November 21, 2011 by Ashley

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%?
November 22, 2011 by Zoey

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%?
November 22, 2011 by Jake

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%?
November 22, 2011 by Jake

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%?
November 22, 2011 by Jake

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?
September 6, 2011 by ALISON

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 ...
September 27, 2006 by chelsea

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.
August 30, 2016 by Anonymous

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 ...
May 4, 2012 by ana

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.
February 12, 2013 by Anonymous

geometry
find x, if ABC is an isosceles triangle with AB=BC
April 15, 2011 by Step

trigonometry 28
In triangle ABC , if angle c=90°,then prove that sin^2 A+sin^2 B=1.
July 2, 2015 by pankaj khanna

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
October 18, 2013 by Jerald

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
May 18, 2009 by Anonymous

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...
July 12, 2013 by quintana

geometry
given: line DF congruent line EF; line DF perpendicular line AB; line EF perpendicular BC. prove line BF bisects angle ABC
September 27, 2011 by Anonymous

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!
September 1, 2008 by Acorn

maths
if bisector of any angle of triangle bisects he opposite side then it is isoceles triangle
November 2, 2010 by abhiskar

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
December 23, 2014 by Kiki

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?
March 27, 2013 by Dan

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.
September 8, 2012 by Roy

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 ...
January 22, 2015 by Millie

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 ...
May 20, 2007 by sarah

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.
October 19, 2013 by anae

angles
one angle of an isosceles triangle is 40 degrees. what are the two possible sizes for the larger angle(s) in this triangle?
May 31, 2011 by montana

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?
January 6, 2011 by Jake

geometry
Isosceles triangle ABC has vertices at A(0, 0), B(8, 0), and C(x, 12). The value of x could be
January 12, 2012 by Anonymous

Geometry
Isosceles triangle ABC has vertices at A(0, 0), B(8, 0), and C(x, 12). The value of x could be
March 8, 2012 by Anonymous

precalc
Is triangle ABC scalene, isosceles, or equilateral if A = (4, 6) B = (-4, 2) and C = (0, 2)? Why?
December 3, 2015 by Patricia

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.
November 1, 2011 by Anonymous

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 ...
November 21, 2006 by Jenny

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?
January 1, 2013 by Bay

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 ]
July 27, 2013 by vincent

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 ...
October 24, 2013 by Cecilia

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
July 12, 2011 by William john

MATHS
In triangle ABC, BC is produced to D. If angle ACD = 110 degree and angle ABC = 70 degree. Find angle BAC. Give reason.
March 12, 2012 by Job

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 $AX$?
April 19, 2016 by Gill

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
March 3, 2015 by Serenity

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.
April 26, 2012 by bleach

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 ...
January 11, 2016 by help me asap

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.
November 18, 2012 by Georges

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'...
February 29, 2016 by Praphul

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.
January 14, 2011 by mw

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.
January 14, 2011 by lorie

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 ...
November 18, 2010 by chica

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
January 4, 2012 by Anonymous

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
October 22, 2013 by nicole

Math
Triangle ABC is an isosceles triangle If the measure of B is 37 degrees what is the measure of C? A.37 B.53 C.106 D.143 I think it's A or C?
February 26, 2013 by Lance

geometry
the transamerica pyramid building shown in the photograph has four faces shaped like isosceles triangles. The measure of a base angle of one of these triangles is about 85. What is the approximate measure of the vertex angle of the triangle?
January 17, 2012 by alex

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.
June 4, 2010 by Golkhadi nep

math
the measures of the interior angles of a triangle are x,y and 2x respectively. if the triangle is isosceles, what is one possible measure of an angle of this triangle, in degrees?
July 24, 2013 by anonymous

MATH
the measures of the interior angles of a triangle are x,y and 2x respectively. if the triangle is isosceles, what is one possible measure of an angle of this triangle, in degrees?
July 24, 2013 by Help!!

geometry
There is no need to ask the same question over and over. How do I find the vertex angle of an isosceles triangle with base angles of (4x-9) and (3x+2).
August 16, 2007 by bobpursley

Geometry
Find the measure of each side of isosceles triangle ABC with AB = BC if AB = 4y , BC = 3y + 2 , and AC = 3y.
October 19, 2010 by Rhonda

Geometry
In the diagram below, the length of the legs AC and BC of right triangle ABC are 6 cm and 8 cm, respectively. Altitude CD is drawn to the hypotenuse of △ABC. What is the length of AD to the nearest tenth of a centimeter?
June 18, 2012 by Alma

Math
Ray AF bisects angle DAB, Ray AE bisects angle DAF, and ray AD bisects angle CAF. Draw a picture that represents this situation. (I drew a picture but I still do not understand.) If the measure of angle DAB=x, find the measure of angle BAC. Answer choices: 3x over 4 , 6x, or ...
November 7, 2008 by Emma

Math
The altitude of a triangle is 2cm longer than its base. The area of the triangle is 60 cm*2. What are the dimensions of the triangle?
May 26, 2014 by Lorrie

math
in an equilateral triangle ABC,O is any point in the interior of the triangle.From O perpendiculars are drawn to the sides.prove that sum of these perpendiculars is constant for any triangle
December 2, 2012 by Anonymous

math
Triangle ABC , BC = CD and (angle ABC - angle bac ) =30, the measure of angle and is?
February 25, 2016 by vivek

Geometry ***(PLEASE CHECK MY ANSWER)*** 1. If triangle RST = triangle NPQ, which of the following is true? A.) ÚR = ÚP B.) ÚR = ÚQ C.) ÚT = ÚP D.) ÚT = ÚQ <----- My Answer! 2. Given triangle RST = triangle NPQ, RT = 7x - 5, NQ = 5x + 11, find the ...

Math
1. The base of an isosceles triangle is 14 cm in length and the angle opposite the base measures 86 degrees. Find the length of each of the congruent sides. 2. A ski slope has a 42 degrees incline and 170 yard long. Find the vertical drop.
February 4, 2014 by Tsunayoshi

math
Write a sequence of transformations that maps triangle ABC onto triangle A''B''C''. --------------------------------------… A in ABC is 1,9, B in ABC is 3,12, and C in ABC is 4,4. A'' in A''B''C'' is 3,-3, B'' in A''B''C'' is 5,-6, and C'' in A''B''C'' is 6,2.
January 23, 2013 by kayla

sanket study centre
In triangle ABC p,q,r such that they lie interior of triang ABC and AP=AR and all the three sides of triangle PQR are scalan if area of triangle PQR is 100 then find area of triangle ABC
November 11, 2015 by sanjay

math
the length of the base of a triangle is 4 times its altitude. if the area of a triangles is 162cm2 find the altitude
February 11, 2011 by annette

GEOMETRY
The sides of a triangle are 8,15 and 18 the shortest side of a similar triangle is 10 how long are the other sides? Find the scale factor of similar triangles whose sides are 4,12,20 and 5,15,25 Assume that traingle xyz is similar to triangle rpn with x(ray sign) r and p(ray ...
November 16, 2013 by BARBIE LEE

geometry
The sides of a triangle are 8,15 and 18 the shortest side of a similar triangle is 10 how long are the other sides? Find the scale factor of similar triangles whose sides are 4,12,20 and 5,15,25 Assume that traingle xyz is similar to triangle rpn with x(ray sign) r and p(ray ...
November 17, 2013 by barbie lee

algebra
ABC and DCB are right angles .That A and D respectively.And AC=DB. Prove that angle ABC is equal to angle DCB?
August 15, 2012 by TUHITUHI