ABC is an isosceles triangle with AB = AC. Draw AP ⊥ BC to show that∠ B = ∠ C.

Question

ABC is an isosceles triangle with AB = AC. Draw AP &#x22A5; BC to show that &#x2220; B = &#x2220; C.

Philoid · Accepted Answer

It is given in the question that:

AB = AC

In and

∠APB = ∠APC = 90^o (AP is altitude)

AB = AC (Given)

AP = AP (Common)

Therefore,

By RHS axiom,

Thus,

∠B = ∠C (By c.p.c.t)