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Geometry - April 26, 2004
The GMAT Sample Math question for the day is from the topic Geometry.
Question
What is the measure of the circum radius of a triangle whose sides are 9, 40 and 41?
A. 6
B. 4
C. 24.5
D. 20.5
E. 12.5
The correct choice is (D) and the correct answer is 20.5.
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 =  = 20.5 units.
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