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17 December, 19:58

What is the inradius of a triangle with side lengths 9, 40, and 41?

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  1. 17 December, 21:59
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    Answer: 20.5

    Step-by-step explanation:

    From the measure of the length of the sides of the triangle, 9, 40 and 41 we can infer that the triangle is a right angled triangle. 9-40-41 is a Pythagorean triplet.

    In a right angled triangle, the circumradius is half the hypotenuse.

    In the given triangle, the hypotenuse = 41.

    Therefore, the circumradius is 41:2 = 20.5 units.
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