A Perimeter Puzzle

Geometry Level 3

The hypotenuse of a right angled triangle is 65 cm. And its in-radius is equal to 12 cm.Then the perimeter of the triangle is


The answer is 154.

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Danish Ahmed by Danish Ahmed , 24, India

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2 solutions

Nosherwan Akram
Feb 21, 2015

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Danish Ahmed
Jan 4, 2015

In a right angled triangle with hypotenuse c , we have :

r = s - c ,where r is the inradius and s is the semi perimeter

Perimeter = 2s = 2(r + c) =2(12 + 65) = 2*77 = 154

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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