Geometric Questions Answers

Quant/Math - CAT 2008

CAT Sample Questions - Question 4 the day : April 26, 2004

The question for the day is from the topic Geometry.

What is the measure of the circum radius of a triangle whose sides are 9, 40 and 41?

 

(1)	6		(2)	4
(3)	24.5		(4)	20.5

 

Correct choice - (4) Correct Answer -(20.5)
 

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Explanatory Answer

From the measure of the length of the sides of the triangle, 9, 40 and 41 we can infer that the triangle is a right angled triangled. 9-40-41 is a Pythagorean triplet.

In a right angled triangle, the circum radius is half the hypotenuse.

In the given triangle, the hypotenuse = 41.

Therefore, the circum radius =41/2 = 20.5 units.