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Geometry
January 08, 2004
What is the radius of the circum circle of the triangle whose sides are 5, 12 and 13 units respectively?
| (1) | 2 units |
| (2) | 12 units |
| (3) | 6.5 units |
| (4) | 6 units |
| (5) | 7.5 units |
Correct Answer Choice (3)
Solution:
The triangle given is a right angled triangle as its sides are 5, 12 and 13 which is one of the Pythagorean triplets.
Note:
In a right angled triangle, the circum radius is equal to the median to the hypotenuse and is half the hypotenuse.
As the given triangle is a right angled triangle, its circum radius = 0.5 * hypotenuse = 0.5*13 = 6.5 units.
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