ABC is a triangle in which AB=AC P is any point in the interior of the triangle such that - Maths - Triangles

Question

ABC is a triangle in which AB=AC P is any point in the interior
of the triangle such that angle ABP=ACP prove that APbisects angle
BAC

Gursheen kaur. · Accepted Answer

Given: ABC is a triangle in which AB=AC P is any point in the interior of the triangle such that angle ABP=ACP To Prove: AP bisects angle BAC Proof: In tr APB and tr APC, AB = AC [given] angle ABP = angle ACP [given] AP = AP [common] âˆ´ $Δ A P B ≅ Δ A P C [b y S A S c o n g r u e n c y c r i t e r i o n]$ also, angle PAB = angle PAC [corresponding angles of congruent triangles] thus, AP bisects angle BAC hence proved

ABC is a triangle in which AB=AC. P is any point in the interior of the triangle such that angle ABP=ACP.prove that APbisects angle BAC