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July 30, 2014

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

Number of results: 19,211

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 ...
November 24, 2010 by Phyllis

Geometry- how to write proof
ABC is a right triangle. Angle C is 90 degree. Altitude CD is drawn to hypotenuse AB. Prove AB/BC = BC/BD and AB/AC = AC/AD This is a theorem. How do I prove it? Thanks. Dont you have similar triangles? You can show this by looking at the angles involved...remember the ...
February 23, 2007 by Jen

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 of a triangle, the ...
May 28, 2013 by Melissa

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 vertex of a triangle, the...
May 28, 2013 by Melissa

Geometry
Do the altitudes of an isosceles triangle go to the midpoints of the opposite sides? My triangle ABC is isosceles with points A (0,0), B (a,b), and C (2a,0). My diagram shows that the altitude from A will hit side BC at point N and the altitude from C will hit side AB at point...
November 30, 2008 by Amy

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 ...
October 19, 2013 by Jayden

geometry
how do you find the height of an isosceles triangle only knowing the lengths of all three bases? EX: There's isosceles triangle ABC with vertex angle B. AB= 5x-28. BC= 2x+11. AC= x+5
January 15, 2010 by erin

geometry proofs
given ABC is a triangle. Ad is the altitude to BC. Ad biscects angle BAC. Prove: Ad is the median to BC
December 14, 2010 by SKipper

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 median from the vertex ...
February 20, 2009 by melissa

Geometry
The altitude to the hypotenuse of a right triangle ABC divides the hypotenuse into 12mm and 16mm segments. Find the lengths of each of the following. A. The altitude to the hypotenuse B. The shorter leg of angle ABC C. The longer leg of angle ABC
September 30, 2013 by George

Geometry - semicircle inside isosceles triangle
Isosceles triangle ABC has sides of length AB=AC=25 and BC=40 . Find the area of a semicircle inscribed in triangle ABC with diameter along BC . Please help I do not know how to start....
March 21, 2013 by Knights

mathematics
in triangle abc if acosA= bcosB then how to prove the triangle is isosceles or right angled
September 20, 2012 by edward

geometry
AD is an altitude of an isosceles triangle ABC in which AB=AC. Show that AD bisects BC.
September 21, 2011 by Anonymous

Math-CHECK PLEASE
Which of the statements is ALWAYS TRUE? A-A right triangle is a scalene triangle. B-An equilateral triangle is an isosceles triangle. C-An isosceles triangle is an obtuse triangle. D-A right triangle is an acute triangle. I got either A or D. I don't know. Also, if angle A is ...
March 8, 2011 by Catherine

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 ...
April 19, 2014 by thomas

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 ...
April 24, 2014 by thomas

9th grade
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
March 23, 2010 by anum

Math
Triangle ABC is an isosceles triangle with angle A= 40 degrees. Give three possible values for angle B
May 7, 2014 by Mackenzie

geometry
Triangle ABC is an isosceles triangle, where angle B is the vertex angle. If BC = 10x-4 , AC= 2x+18 , and AB= 6x+32, find the value of x.
December 15, 2010 by tim

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?
May 28, 2013 by andrew

math
in an isosceles triangle ABC ,AB=AC.if AB and AC are produced to D and E respectively so that BD=CE.prove thatBE=CD
April 22, 2012 by majumder

math
in an isosceles triangle ABC ,AB=AC.if AB and AC are produced to D and E respectively so that BD=CE.prove thatBE=CD
April 26, 2012 by majumder

math
ABC is a isosceles triangle. Line B extended to D. Prove that <ACD = 90 degree.
August 18, 2012 by soumi

geometry
In isosceles triangle ABC, AB = BC, and D is a point between A and C on AC. Can you conclude MO > ML, MN > MO, angle L > angle BDA, or angle N > angle BDC
January 5, 2011 by Nick

Math (Geometry)
The perimeter of right triangle ABC is equal to the perimeter of isosceles triangle DEF. 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 ...
August 7, 2012 by ANONYMOUS

Maths
X and Y are points on the sides BC and AC of a triangle ABC respectively such that angle AXC = angle BYC and BX = XY. Prove that AX bisects the angle BAC. I believe the first step is to prove ABXY is a cyclic quadrilateral. Unfortunately, I dont know how!!!
July 20, 2008 by Bobby

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 triangle ABC and triangle...
December 15, 2013 by cassidy

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 of the centroid of ...
April 30, 2013 by denise

Math
If the bisector of the vertical angle of the triangle bisects the base prove that the triangle is isosceles?
August 20, 2011 by Syed

geometry
In a triangle ABC,E and F are the mid-points of AC and AB respectively. The altitude AP to BC intersects EF at Q.Prove AQ =PB.
October 29, 2010 by Surendra

maths
In triangle ABC angle B > angle C if AM is the bisector of angle BAC and AN perpendicular BC. prove that angle MAN =1/2(angle B - angle C)
August 23, 2011 by Anonymous

corollary to isosceles triangle theorem
how to prove 1)the measure of each angle of an equilateral triangle is 60. 2)the bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base. Thanks. 1) The angles in any triangle have to add up to 180 degrees, right? 3 x 60 = 180 2) ?? 2. ...
November 17, 2006 by Jen

geometry!!!!!!
ABC is an isosceles triangle with AB = BC. The circumcircle of ABC has radius 8. Given further that AC is a diameter of the circumcircle, what is the area of triangle ABC?
February 12, 2013 by please help me out!!! please

geometry
triangle ABC is an isosceles right triangle. The endpoints of the hypotenuse of ABC are A(4,7)B(8,1). Find the possible coordinates for the vertex C
October 23, 2011 by Emily

Math. Urgent please help
ABC is an isosceles triangle. If AB =AC =16, BC=8. D is the midpoint of side AC , and G is the centroid of triangle ABC , find BD .
December 20, 2013 by Lwint

math
In a triangle ABC,right angled at B, BD is drawn perpendicular to AC. prove that: (i) angle ABD = angle c (ii) angle CBD = angle A
July 27, 2012 by sunny

geometry
In a triangle ABC,right angled at B, BD is drawn perpendicular to AC. prove that: (i) angle ABD = angle c (ii) angle CBD = angle A
July 27, 2012 by sunny

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
May 11, 2012 by priyanka

Math
ABC is an isosceles triangle. If AB =AC =16, BC=8. D is the midpoint of side AC , and G is the centroid of triangle ABC , find BD .
December 19, 2013 by Lwint

Don't understand this Geometry question
Isosceles triangle XYZ is placed on a coordinate plane to be used for a coordinate proof. What should the coordinates of its vertices be? a. (-a,0), (0,0), (a,0) b. (0,0), (0,-a), (-a,0) c. (0,0), (0,a), (a,0) d. (0,0), (0,-a), (a,0) ??? 5 REASONS WHY SOCIAL STUDIES IS ...
August 28, 2006 by Ellie

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
November 9, 2008 by tori

math
Let triangle ABC be a triangle such that angle ACB is 135 degrees. Prove that AB^2 = AC^2 + BC^2 - (Root 2) x AC x BC
July 24, 2010 by eric

math
Let triangle ABC be a triangle such that angle ACB is 135 degrees. Prove that AB^2 = AC^2 + BC^2 - (Root 2) x AC x BC
July 24, 2010 by eric

geometry
if the isosceles triangle abc has one base angle of 2x-20 and the other base angle x+10 then what is the measure of angle b given the choices 36,40, 44, and 48
December 31, 2011 by ashanti

Geometry
ABC is a triangle with a right angle at A. M and N are points on BC such that AM is the altitude, and AN is the angle bisector of A. If CN/NB=21, what is CM/MB ?
May 13, 2013 by AA

Geometry
Given: segment BD bisects angle ABC; AB=BC. Prove: triangle ABD congruent to triangle CBD
March 12, 2013 by Constance

Euclidean Geometry
I am in the 10th Grade and my question is: The base of an isosceles triangle is 21cm. long. The altitude to the base is 9cm. long. What is the approx. measure of a base angle of the triangle? The tangent of that angle is 9/10.5 = 0.8571 Trigonometric tables will tell you that ...
April 28, 2007 by Blake

Geometry
ABC is a triangle with a right angle at A. M and N are points on BC such that AM is the altitude, and AN is the angle bisector of BAC. If CN/NB =21 , what is CM/MB ?
May 16, 2013 by Andrew

math
triangle ABC has vertices A(3,4), B(4,-3) and C(-4,-1). a. draw a sketch of the triangle b. draw the altitude from vertex A c. find the slope of side BC which is =-1/4 d. find the slope of the altitude from A which is 4 e. find the equation of the line that contains this ...
October 27, 2010 by Ted

MATHS
ABC is a triangle with a right angle at A. M and N are points on BC such that AM is the altitude, and AN is the angle bisector of ∠BAC. If CN/NB=21, what is CM/MB?
May 17, 2013 by HELP!!

math
ABC is a triangle with a right angle at A. M and N are points on BC such that AM is the altitude, and AN is the angle bisector of ∠BAC. If CN/NB=21, what is CM/MB?
May 18, 2013 by Gandu man

geometry
Indirect proof given triangle ABC,<B is an obtuse angle prove there can only be one obtuse angle in triangle.
December 17, 2010 by Alfa

Math (Geometry)
ABC is a triangle with a right angle at A. M and N are points on BC such that AM is the altitude, and AN is the angle bisector of ∠BAC. If CN/NB=21, what is CM/MB?
May 15, 2013 by Dan

Math (Geometry)
ABC is a triangle with a right angle at A. M and N are points on BC such that AM is the altitude, and AN is the angle bisector of ∠BAC. If CN/NB=21, what is CM/MB?
May 16, 2013 by Dan

heeelp MATH
ABC is a triangle with a right angle at A.M and N are points on BC such that AM is the altitude, and AN is the angle bisector of ∠BAC. If CN/NB=21,what is CM/MB?
May 16, 2013 by Anubhav

12th grade
Find altitude of isosceles triangle if angle=53 degrees and base is 8 inches.
December 2, 2010 by Ro

trig
Find the altitude of an isosceles triangle whose base in 30 cm vertex angle is 75 degres
February 11, 2011 by ...wew

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)?
March 26, 2013 by Dan

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)?
March 30, 2013 by rohit

math
ABC is a triangle with a right angle at A. M and N are points on BC such that AM is the altitude, and AN is the angle bisector of ∠BAC. If CNNB=21, what is CMMB?
May 16, 2013 by Anonymous

Maths
In a triangle ABC, AD is the altitude and AD = 10 cm and CD = 10 sqrt 3 cm, determine angle A ?
February 12, 2012 by Hreem

math
construct an equilateral triangle ABC in which altitude drawn from opposite vertex is 3.5 cm.Also construct a triangle APR similar to a triangle such that each side of the triangle APR is 1.5 times that of the corresponding side of triangle ABC.
February 23, 2012 by upasna

trig
Find altitude of isosceles triangle if angle=53 degrees (the equal angles) and the base is 8 inches.
December 2, 2010 by Ro

Please help in triangle
ABC is an isosceles triangle with AB=BC and ∠ABC=123∘. D is the midpoint of AC, E is the foot of the perpendicular from D to BC and F is the midpoint of DE. The intersection of AE and BF is G. What is the measure (in degrees) of BGA?
June 19, 2013 by Mathslover

Math
From the vertex A of a right angled triangle ABC, (A being the right angle) AD is drawn perpendicular to BC. How do I prove that the three triangles ABD, ADC, and ABC are similar? Thank you!
July 8, 2010 by Mintz

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?
May 27, 2013 by John

geometry
In triangle ABC, CD is both the median and the altitude. If AB=5x+3, AC=2x+8, and BC=3x+5, what is the perimeter of triangle ABC?
October 4, 2010 by Anonymous

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?
May 28, 2013 by andrew

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.
August 7, 2010 by mathsen

college geometry
Given: right triangle ABC with right angle at C, AC=22 and BC=6.Draw altitude CD where D is o hypotenuse AB. What is the ratio of the area of triangle ADC to the area of triangle CDB?
December 12, 2010 by Kathy

Geometry question
In isosceles ABC, B is the vertex. The measure of angle B can be represented as (8x+2). The measure of angle A can be represented as (9x-2). Find the measure of all three angles of the triangle. Be sure to name the angle with its measurement (ex: angle A= ).
August 23, 2007 by Jim

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
October 24, 2013 by Barbie Lee

geometry
In the diagram below, the length of the legs AC and BC of right triangle ABC are 6cm and 8cm, respectively.Altitude CD is drawm to the hypotenuse of triangle ABC. what is the lenght of AD to the nearest tenth of a centimeter?
June 16, 2010 by Jacqueline

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...
October 20, 2009 by Julie

math
the vertices of triangle abc are A(-2,3) B(10,3) and C(4,10. prove by coordinate geometry that the median to side AB is also the altitude to side BC?
February 20, 2007 by sean

GEOMETRY (Angles) PLEASE
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
August 24, 2013 by yuri

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...
February 24, 2014 by John

Trigonometry
in triangle abc, if sin c= (sin a + sin b )/ ( cos a + cos b ) prove that triangle abc is a right-angle triangle.
July 13, 2008 by Tommy

maths
ABC is a triangle BD & CE are altitudes drawn from the vertex B & C. Prove that ABC is an isoceles triangle
June 19, 2013 by karan

math b
the vertices of triangle ABC are A(-2,3), B(0,-3), and C(4,1). prove, by means of coordinate geometry, that the median to side BC is also the altitude to side BC.
May 25, 2009 by jojo

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
February 3, 2012 by BreAnne

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 special cases in which...
November 19, 2013 by Sam

geometry
In acute triangle ABC, segment AD is an altitude, the measure of angle ADB=2x^2+40, BD=9x-3, and DC=6x+15. Find BC.
November 7, 2008 by Hannah

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; Triangle XYZ: 30, 16, 16
April 29, 2011 by Dezzy

Math
Triangle ABC is circumscribed about circle O and D,E, and F are points of tangency. If AD= 5, EB= 5 and CF= 10, find the lengths of the sides of the triangle and show that the triangle is isosceles
May 12, 2011 by Brianne

maths
in triangle abc angle b = 2angle c.d is a point ob bc such that ad bisects angle bac and ab = cd.prove that angle bac = 72
August 15, 2012 by rajat garg

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)?
February 28, 2013 by John

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)?
March 1, 2013 by John

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.
May 18, 2011 by Misty

math(Please help!!!)
In acute triangle ABC, segment AD is an altitude, the measure of angle ADB=2x^2+40, BD=9x-3, and DC=6x+15. Find BC.
November 4, 2008 by Abbey

Geometry.
prove that the distance between any two points inside triangle abc is not greater than half the perimeter of triangle abc my teacher said to try doing this proof by contradiction. can someone please help??
December 19, 2013 by Sammy

Math
the right triangle ABC, the altitude from vertex C divides the hypotenuse into two segments, one of length 2 and the other of length 16. Find the perimeter of triangle ABC.
December 7, 2013 by Lily

MATH!!!
given isosceles triangle ABC, line AB = BC, and BD is the angle bisector of isosceles triangle ABC prove AB x DC = BC x AD Aren't the two halves congruent? (SAS) If so, then DC is equal to AD. Don't the ratios AB:AD=BC:DC by corresponding parts? how do i write that out like on...
September 6, 2006 by Annie

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
February 27, 2013 by Anonymous

math
Let ABC be a triangle such that angle ACB = 135 degrees. Prove that AB^2 = AC^2 + BC^2 + 2 x AC x BC.
August 7, 2010 by mathsen

geomerty
The following triangles, ABC and 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 triangle: Second triangle: ...
May 11, 2011 by kozy

geometry
right triangle ABC with right angle C, AC=22 and BC=6, altitude CD where D is on hypotenuse AB. What is the ratio of the area of triangle ADC to the area of triangle CDB? Write ratio as n:1 and round n to the nearest hundredth.
November 30, 2010 by suzy

Help triangle angles!
Points D, E, and F are the midpoints of sides BC, CA, and AB of ABC, respectively, and CZ is an altitude of the triangle. If <BAC=71, <ABC=39, and <BCA=70, then what is <EZD+<EFD in degrees? Please help I tried making a picture but its not helping....please help!
December 19, 2012 by Knights

geometry
given: segment AB is paralell to segment DC; segment AB is congruent to segment to DC prove: triangle ABC is congruent to triangle CDA statements: 1. segment AB is congruent to segment DC 2.segment AC is congruent to segment AC 3.segment AB is paralell to segment DC 4.angle ...
November 5, 2007 by hello

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.
November 30, 2010 by suzy

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