Q. 14

Prove that the angles opposite to equal sides of a triangle are equal

Answer :

We have a triangle PQR where PS is the bisector of P


Now in ∆PQS and ∆PSR, we have:


PQ = PR (Given)


PS = PS (Common)


QPS = PRS (As PS is the bisector of P)


By SAS congruence rule


∆PQS PSR


Q = R (By Congruent parts of congruent triangles)


Hence, it is proved that the angles opposite to equal sides of a triangle are equal


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