If AM is a median of triangle ABC, then which of the following relation will always hold good? Options: A . &nbspAB + BC + CA = 2AM B . &nbspAB + BC + CA > 2AM C . &nbspAB + BC + CA D . &nbspAB + BC + CA = AM

If AM is a median of triangle ABC, then which of the following relation will alw

Question

If AM is a median of triangle ABC, then which of the following relation will always hold good?

Options:

A . AB + BC + CA = 2AM

B . AB + BC + CA > 2AM

C . AB + BC + CA

D . AB + BC + CA = AM

Answer: Option B
:
B

Sum of lengths of any two sides of a triangle is always greater than the third side.
Hence,
AB + BM

>

AM
AC + CM

>

AM
Thus, AB + BC + CA

>

2AM

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