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Question

In the given fig $$\triangle PQC$$ & $$PRC$$ such that $$QC=CR$$, $$PQ=PR$$. Prove that $$\triangle PQC\cong\triangle CPR$$
1041223_db97103a90b941d683fc414dea37059b.png


Solution

$$PQ=PR$$     (Given)
$$\therefore \angle PQR=PRQ$$  (Angles opposite to equal sides)
$$QC=RC$$      (Given)
$$\triangle PQC\cong \triangle CPR$$
By $$SAS$$ criteria


Mathematics

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