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    Question

    If perpendicular and base of a right-angle triangle are

    30 cm and 40 cm respectively, then find the length of the shortest median of triangle.
    A 25 cm Correct Answer Incorrect Answer
    B 15 cm Correct Answer Incorrect Answer
    C 30 cm Correct Answer Incorrect Answer
    D 20 cm Correct Answer Incorrect Answer

    Solution

    Using Pythagoras theorem, (Perpendicular)┬▓ + (Base)┬▓ = (Hypotenuse)┬▓ Or, 30┬▓ + 40┬▓ = (Hypotenuse)┬▓ Or, (Hypotenuse)┬▓ = 900 + 1600 = 2500 So, Hypotenuse = 50 cm Shortest median of a right-angle triangle = Circumradius = (Hypotenuse/2) = (50/2) = 25 cm Hence, option A.

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