A circle is inscribed in a triangle whose sides arc 8 cm, 15 cm and 17 cm, then the radius of the circle is

3 cm

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4 cm

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5 cm

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none of these

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Solution

The correct option is A 3 cm
Let $A B = 8 c m, B C = 15 c m, A C = 17 c m$

We know that the radius of the circle
$r = \frac{A B + B C - A C}{2}$
$r = \frac{8 + 15 - 17}{2}$
$r = \frac{6}{2}$
$r = 3 c m$

Hence, this is the answer.

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