ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    If perpendicular and base of a right-angle triangle are

    24 cm and 32 cm respectively, then find the length of the shortest median of triangle.
    A 12 cm Correct Answer Incorrect Answer
    B 16 cm Correct Answer Incorrect Answer
    C 20 cm Correct Answer Incorrect Answer
    D 24 cm Correct Answer Incorrect Answer

    Solution

    Using Pythagoras theorem, (Perpendicular)┬▓ + (Base)┬▓ = (Hypotenuse)┬▓ Or, 24┬▓ + 32┬▓ = (Hypotenuse)┬▓ Or, (Hypotenuse)┬▓ = 576 + 1024 = 1600 So, Hypotenuse = 40 cm Shortest median of a right-angle triangle = Circumradius = (Hypotenuse/2) = (40/2) = 20 cm Hence, option C.

    Practice Next
    More Mensuration Questions

    Relevant for Exams:

    ask-question