GMAT Practice Question - Geometry

Concept: Properties of right triangles. Radius of circumcircle.

This GMAT quant practice question is a problem solving question in Geometry. Concept: Radius of circle that circumscribes a triangle.

Question: What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?

  1. 6
  2. 4
  3. 24.5
  4. 20.5
  5. 12.5

Explanatory Answer

Video explanation will be added soon

9, 40 and 41 is Pythagorean triplet. So, the triangle is right angled.

Key property about right triangles
In a right angled triangle, the radius of the circle that circumscribes the triangle is half the hypotenuse.
In the given triangle, the hypotenuse = 41.
Therefore, the radius of the circle that circumscribes the triangle = \\frac{41}{2}\\) = 20.5 units.

Choice D is the correct answer.

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