Question

If perimeter of the triangle is always _______
the sum of median​

Answer 1

Answer:

If perimeter of the triangle is always greater the sum of median.

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Answer 2

The perimeter of the triangle is "always greater than" the sum of the median.

Step-by-step explanation:

We know that,

The perimeter of Δ We know that,

The perimeter of Δ = ABC = AB + BC + CA

∴ AB + AC > 2AD

Similarly,

BC + A >2CF

Also,

BC + AB>2BE

Adding, we get

(AB + BC) + (BC + AC) + (BC + AB) > 2AD + 2CD + 2BE

2 (AB + BC + AC) >2(AD + BE + CF)

∴ AB + BC + AC >AD + BE + CF

Thus, the perimeter of the triangle is "always greater than" the sum of median.