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    Question

    In a right-angled triangle, the hypotenuse is 25 cm, and

    one of the sides is 20 cm. Find the radius of the circle inscribed in the triangle.
    A 4 cm Correct Answer Incorrect Answer
    B 5 cm Correct Answer Incorrect Answer
    C 6 cm Correct Answer Incorrect Answer
    D 7 cm Correct Answer Incorrect Answer

    Solution

    The third side of the triangle can be found using the Pythagorean theorem: x^2 + 20^2 = 25^2 x^2 + 400 = 625 x = √225 = 15 cm. The semi-perimeter (s) of the triangle is (15 + 20 + 25) / 2 = 30 cm. The area of the triangle is (1/2) * base * height = (1/2) * 15 * 20 = 150 cm². The radius of the inscribed circle (r) is Area / s = 150 / 30 = 5 cm.

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