Question
If perpendicular and base of a right-angle triangle are
18 cm and 24 cm respectively, then find the length of the shortest median of triangle.Solution
Using Pythagoras theorem, (Perpendicular)² + (Base)² = (Hypotenuse)² Or, 18² + 24² = (Hypotenuse)² Or, (Hypotenuse)² = 324 + 576 = 900 So, Hypotenuse = 30 cm Shortest median of a right-angle triangle = Circumradius = (Hypotenuse/2) = (30/2) = 15 cm Hence, option C.
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