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If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side

In the given ...

Question

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

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Solution

$P Q = P R$ (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

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If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side

Standard IX Mathematics

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