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.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
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