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The Sum of Any Two Sides of a Triangle Is Greater Than the Third Side

In a triangle...

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In a triangle ABC if inradius is equal to 2 and incircle touches the side BC, CA and AB at D, E, and F. If BD, CE, AF are three consecutive even integers, then the perimeter of the triangle is (1) 36 (2) 48 (3) 12 (4) 24

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