A circle is inscribed in a triangle with sides $8, 15$ and $17$ . The radius of the circle is:

6

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2

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5

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3

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7

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Solution

The correct option is D $3$
This is a right triangle. For any right triangle it can be shown that
$a - r + b - r = c ∴ 2 r = a + b - c = 8 + 15 - 17 = 6$ and $r = 3$ .

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