Question : The length of the radius of the circumference of a triangle having sides 9 cm, 12 cm, and 15 cm is:
Option 1: 6 cm
Option 2: 7.5 cm
Option 3: 4.5 cm
Option 4: 6.5 cm
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Correct Answer: 7.5 cm
Solution :
Sides 9 cm, 12 cm, and 15 cm, form a right triangle since 9 cm, 12 cm, and 15 cm is a Pythagorean triples.
In a right-angled triangle radius of the circumcircle is half of the hypotenuse.
So, the length of the radius of circumference = $\frac{15}{2}$ = 7.5 cm
Hence, the correct answer is 7.5 cm.
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