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Geometry - Quant/Math - CAT 2009

  1. Algebra
  2. Progressions
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Question 4 the day: August 18, 2003

The question for the day is from the topic of Geometry.
What is the circum radius of a triangle whose sides are 7, 24 and 25 respectively?

(1) 18 (2) 12.5
(3) 12 (4) 14
Correct Answer - (2)

Solution:


7, 24, 25 is a Pythagorean triplet. Therefore, the given triangle is a right angled triangle.

In a right-angled triangle, the median to the hypotenuse is half the hypotenuse and is also the circum radius of the triangle.

As the hypotenuse is 25, the circum radius is 12.5




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