Question

in triangle ABC, altutude AD bisects BC. prove that triangle ADB congruent to triangle ADC. Write aqual pair of sides of the 2 triangles

Answer 1

Given that : AD perpendicular to BC

To prove that : triangle ADB congruent to triangle ADC

We have,

BD = CD (BC bisected by AD)

Angle ADB = Angle ADC=90°

AD (common side)

Therefore, ∆ADB congruent to ∆ADB

(by SAS)