Question

if AD bisect angle A and and AD is perpendicular to BC are these triangle congurent

Answer 1

given:In the above fig it is given that ad is perpendicular to bc and bisecting angle a

to prove: both the triangles are congruent

solution: let us consider triangle abd and triangle adc
angle BAD=angleCAD(given that ad bisect angle a)
angle adb=adc=90°(ad is perpendicular to bc)
ad=ad(common)
hence by asa congruency triangle abd is congruent to triangle adc
hope it helps!!!!