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    Question

    If perpendicular and base of a right-angle triangle are

    18 cm and 24 cm respectively, then find the length of the shortest median of triangle.
    A 14 cm Correct Answer Incorrect Answer
    B 9 cm Correct Answer Incorrect Answer
    C 15 cm Correct Answer Incorrect Answer
    D 30 cm Correct Answer Incorrect Answer

    Solution

    Using Pythagoras theorem, (Perpendicular)┬▓ + (Base)┬▓ = (Hypotenuse)┬▓ Or, 18┬▓ + 24┬▓ = (Hypotenuse)┬▓ Or, (Hypotenuse)┬▓ = 324 + 576 = 900 So, Hypotenuse = 30 cm Shortest median of a right-angle triangle = Circumradius = (Hypotenuse/2) = (30/2) = 15 cm Hence, option C.

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