Question

in the figure below , triangle PQR is an isosceles triangle in which ( PQ ) = ( PR ) . PS is the bisector of angle P . show that triangle PQS = triangle PRS​

Answer 1

Answer:

In triangle PQS we have 2 triangles PQS AND PRS

Step-by-step explanation:

In triangle PQS AND PRS

PQ = PR (ISOSCELES TRIANGLE)

ANGLE QPS = ANGLE RPS (PS IS ANGLE BISECTOR)

PS = PS (COMMON)

SO BY SAS CRITERIA

BOTH TRUANGKES ARE CONGRUENT AND HENCE BY CPCT BOTH ARE EQUAL