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    Question

    What will be inradius of a right angle triangle whose

    base is 13 cm & height is 84 cm ?
    A 3 cm Correct Answer Incorrect Answer
    B 4 cm Correct Answer Incorrect Answer
    C 10 cm Correct Answer Incorrect Answer
    D 6 cm Correct Answer Incorrect Answer

    Solution

    By pythogorus theorem, Hypotenuse 2  = Base 2 +Height 2 = 132 + 842 = 169 + 7056 = 7225, So Hypotenuse = 53; Now inradius of a right angle triangle = (Base + Height - Hypotenuse)/2 = (13 + 84 - 85)/2 = 12/2 = 6 cm

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