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    Question

    Given a right-angled triangle with the perpendicular

    measuring 36 cm and the base measuring 48 cm, determine the length of the shortest median of the triangle.
    A 20 cm Correct Answer Incorrect Answer
    B 15 cm Correct Answer Incorrect Answer
    C 30 cm Correct Answer Incorrect Answer
    D 35 cm Correct Answer Incorrect Answer

    Solution

    Using Pythagoras theorem, (Perpendicular) 2  + (Base) 2  = (Hypotenuse) 2 Or, 362  + 482  = (Hypotenuse) 2 Or, (Hypotenuse)2  = 1296 + 2304 = 3600 Since, the hypotenuse of a triangle cannot be negative. So, Hypotenuse = 60 cm Shortest median of a right-angle triangle = Circumradius = (Hypotenuse/2) = (60/2) = 30 cm

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