Question

7. Prove that in a triangle the sum of the medians is less than the perimeter.plzz and with diagram.​

Answer 1

The best example is that of an equilateral triangle. If the sides are 2 units each, the medians are 2*sin 60 = 1.732050808 units each. The three sides are 3*2 = 6 units while the three medians are 3*1.732050808 = 5.196152423 units. Thus the perimeter is more than the sum of the lengths of the medians.

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