Geometric Questions Answers

Geometry - Quant/Math - CAT 2008

Question 4 the day: September 12, 2003

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

What is the measure of in radius of the triangle whose sides are 24, 7 and 25?

(1)	12.5			(2)	3
(3)	6			(4)	None of these

Correct Answer - (2)

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Solution:


We know that for any triangle, area of the triangle = r*s, where r is the in radius and s is the semi perimeter

As the given triangle is a right angled triangle, area of the triangle =1/2 * 24 * 7 = 84 sq units.

S = semi perimeter =a+b+c  /  2   =  24+7+25   /   2   =28

Therefore, 84 = 28 * r

=> r = 84/28 = 3