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    Question

    If perpendicular and base of a right-angle triangle is,

    6 cm and 8 cm, respectively, then find the length of the shortest median of 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

    Using Pythagoras theorem, (Perpendicular)┬▓ + (Base)┬▓┬а= (Hypotenuse)┬▓ Or, 6┬▓ + 8┬▓ = (Hypotenuse)┬▓ Or, (Hypotenuse)┬▓ = 36 + 64 = 100 Since, the hypotenuse of a triangle cannot be negative. So, Hypotenuse = 10 cm Shortest median of a right-angle triangle = Circumradius = (Hypotenuse/2) = (10/2) = 5 cm

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