Question

Prove that AABC is isosceles
if altitude AD bisects ZBAC.​

Answer 1

we have drawn an triangle ABC and AD is

the altitude)

Given: A triangle ABC in which BD DC

to prove : AB AC or ABC is an isosceles

triangle.

Proof:

In triangle ABD and triangle ADC

AD AD ( common)

LADB = LADC (90° each)

BD DC (given)

so A ABD = AACD( by RHS)

So AB AC (by cpct)

A ABC is an isosceles triangle.