In the given fig triangle PQC - PRC such that QC-CR- PQ-PR- Prove that triangle PQCcongtriangle CPR

Question

Toppr Admin · Accepted Answer

PQ-PR-xA0- -xA0- -xA0-Given-x2234-x2220-PQR-PRQ-xA0- -Angles opposite to equal sides-QC-RC-xA0- -xA0- -xA0- -Given-x25B3-PQC-x2245-x25B3-CPRBy SAS criteria

In the given fig $△ P Q C$ & $P R C$ such that $Q C = C R$ , $P Q = P R$ . Prove that $△ P Q C ≅ △ C P R$

$P Q = P R$ (Given)
$∴ ∠ P Q R = P R Q$ (Angles opposite to equal sides)
$Q C = R C$ (Given)
$△ P Q C ≅ △ C P R$
By $S A S$ criteria

In the given fig △PQC & PRC such that QC=CR, PQ=PR. Prove that △PQC≅△CPR

PQ=PR (Given)∴∠PQR=PRQ (Angles opposite to equal sides)QC=RC (Given)△PQC≅△CPRBy SAS criteria

In the given fig $△ P Q C$ & $P R C$ such that $Q C = C R$ , $P Q = P R$ . Prove that $△ P Q C ≅ △ C P R$

$P Q = P R$ (Given)
$∴ ∠ P Q R = P R Q$ (Angles opposite to equal sides)
$Q C = R C$ (Given)
$△ P Q C ≅ △ C P R$
By $S A S$ criteria