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Angle Sum Property

In the given ...

Question

In the given figure, $P$ is a point on the side $B C$ of $△ A B C .$ Prove that $(A B + B C + A C) > 2 A P .$

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Solution

$I n △ A B P, A B + B P > A P$
$I n △ A P C, P C + A C > A P$
Now, add the corresponding sides.

$(A B + B C + A C) > 2 A P .$

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