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In triangle PQD and PRD
angle QPD= angle RPD
side PD= side PD
angle PDQ= angle PDR
hence by Angle Side Angle Congruence rule,
triangle PQD congruent to triangle PRD
therefore PQ=PR
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Step-by-step explanation:
This is a question from the chapter congurent shapes, i haven't learnt this but I'm sure my answer will help you
We now have 2 triangles TranglePDQ and TriangkePDR
we know PD=PD
It is written that PD is a bisector of Angle P
so Angle QPD = Angle RPD
we know QDR is 180 degree and also that angle PDR is 90 degree
so PDQ is 180-90=90 degree
Angle PDQ= Angle PDR
Here, we have ASA Congurency and Triangle PDQ is congurent to Triangke PDR
Hence PQ is equal to PR
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