# 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.

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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