📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

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

    12 cm and 16 cm, respectively, then find the length of the shortest median of triangle.
    A 8 cm Correct Answer Incorrect Answer
    B 9 cm Correct Answer Incorrect Answer
    C 10 cm Correct Answer Incorrect Answer
    D 12 cm Correct Answer Incorrect Answer

    Solution

    Using Pythagoras theorem, (Perpendicular)² + (Base)² = (Hypotenuse)² Or, 12² + 16² = (Hypotenuse)² Or, (Hypotenuse)² = 144 + 256 = 400 Since, the hypotenuse of a triangle cannot be negative. So, Hypotenuse = 20 cm Shortest median of a right-angle triangle = Circumradius = (Hypotenuse/2) = (20/2) = 10 cm

    Practice Next
    More Triangle Questions

    Relevant for Exams:

    ask-question