Question
If perpendicular and base of a right-angle triangle are
6 cm and 8 cm respectively, then find the length of the shortest median of triangle.Solution
Using Pythagoras theorem, (Perpendicular)² + (Base)² = (Hypotenuse)² Or, 6² + 8² = (Hypotenuse)² Or, (Hypotenuse)² = 36 + 64 = 100 Since the hypotenuse cannot be negative, So, Hypotenuse = 10 cm Shortest median of a right-angle triangle = Circumradius = (Hypotenuse/2) = (10/2) = 5 cm Hence, option B.
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