Mensuration Questions Answers

Mensuration - Quant/Math - CAT 2008

Question 4 the day: September 01, 2003

The question for the day is from the topic of Mensuration.

If the sides of a triangle measure 72, 75 and 21, what is the measure of its in radius?

(1)	37.5			(2)	24
(3)	9			(4)	15

Correct Answer - (3)

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Solution:


The sides of the triangle happen to be a Pythagorean triplet. Hence, the triangle is a right angled triangle.

For a right angled triangle,

The measure of in radius = (product of perpendicular sides) / (perimeter of triangle)

= (72 * 21) / (72 + 21 +75) = 1512 / 168 = 9