SOLUTION: given that triangle abc is an isosceles triangle with base of line segment bc and line segment bd is congruent to line segment cd, prove triangle adb is congruent to triangle adc

Question 1153130: given that triangle abc is an isosceles triangle with base of line segment bc and line segment bd is congruent to line segment cd, prove triangle adb is congruent to triangle adc
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The altitude of triangle ABC to base BC bisects BC and is perpendicular to BC; the altitude of triangle DBC to base BC bisects BC and is perpendicular to BC.

Therefore segment AD contains the altitudes of both triangles.

That makes triangles ADB and ADC congruent by side-side-side.

RELATED QUESTIONS
Given- Isosceles triangle ABC with segment Ab congruent to segment AC line CD is... (answered by vksarvepalli)

I have to prove that Triangle ABC is isosceles.D is the midpoint at the base. Here is... (answered by scott8148)

Given that Line segment AE is parallel to segment BD and angle 2 is congruent to angle 3, (answered by ikleyn)

I have a confusing proof. GIVEN: 1)triangle ABC is isosceles. 2)line segment... (answered by Theo)

I really need help with the statement and reason of this problem. Given: Line segment... (answered by timvanswearingen)

Given: Triangle ABC with AD bisecting angle BAC, and AE is congruent to ED (both line... (answered by richard1234)

Hello, Geometry tutor. Please help me with Problem #1: All of this is given: if... (answered by ikdeep)

I have an image that is a Triangle with a line from the top angle to the middle line on... (answered by KMST)

ABC is a triangle with base = BC . A line segment DE is drawn parallel to Side AC. D is... (answered by ikleyn)