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    Question

    A right-angled triangle has sides 12 cm, 16 cm, and 20

    cm. A circle is inscribed within this triangle. Find the radius of the inscribed circle.
    A 3 cm Correct Answer Incorrect Answer
    B 4 cm Correct Answer Incorrect Answer
    C 5 cm Correct Answer Incorrect Answer
    D 6 cm Correct Answer Incorrect Answer

    Solution

    For a right-angled triangle, the radius r of the inscribed circle is given by the formula: r = (a + b - c)/2 where a and b are the perpendicular sides, and c is the hypotenuse. Here, a = 12 cm, b = 16 cm, and c = 20 cm. So, r = (12 + 16 - 20)/2 = 8/2 = 4 cm. Correct answer: b. 4 cm

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