Question

Prove that the perimeter of a triangle is greater than the sum of its medians.​

Answer 1

Answer:

Answer Expert Verified

WE KNOW THAT THE SUM OF ANY TWO SIDES OF A TRIANGLE IS GREATER THAN TWICE THE MEDIAN DRAWN TO THE THIRDSIDE.

AB+AC>2AD;. AB+BC>2BE & BC+AC>2CF.

Hence, the perimeter of a triangle is greater than the sum of its three medians.

Answer 2

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