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Equal Angles Subtend Equal Sides

Take any poin...

Question

Take any point O in the interior of a triangle PQR. Is OR $+$ OP $>$ RP $?$
Since sum of two sides is greater than third side.

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Solution

Join $O$ with $P, Q, R$
As, $O P R$ is a triangle.
Sum of 2 side is greater than 3rd side
$∴ O P + O R > P R$

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