
Mensuration  Quant/Math  CAT 2013
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)
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



