Question

The perimeter of a triangle is _____ the sum of its medians.

(1 Point)

less than

greater than twice

equal to

greater than​

Answer 1

Answer:

We know that the sum of any two sides of a triangle is greater than twice the median drawn to the third side. ∴ (AB+BC+AC)>(AD+BE+CF). Hence, the perimeter of a triangle is greater than the sum of its three medians.

Step-by-step explanation:

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Answer 2

Answer:

We know that the sum of any two sides of a triangle is greater than twice the median drawn to the third side. ∴ (AB+BC+AC)>(AD+BE+CF). Hence, the perimeter of a triangle is greater than the sum of its three medians.