Maths-

General

Easy

Question

## The correct answer is: Hence proved

### Solution :-

Aim :- Prove that

Hint :- Applying pythagoras theorem to both triangles ACM and BLA. find the BL^{2}

and CM^{2} add them and substitute proper conditions to prove the condition .

Explanation(proof ) :-

Given, BL and CM are the medians of a triangle ABC

M is midpoint of AB i.e AM = ½ AB

L is mid point of AC i.e AL = ½ AC

Applying pythagoras theorem to triangle BLA we get ,

As we know AL = ½ AC we get

Applying pythagoras theorem to triangle ACM we get ,

As we know AM = ½ AB we get — Eq2

Applying pythagoras theorem to triangle ABC we get ,

Adding Eq1 and Eq2 we get ,

Substitute Eq 3 in the above , we get

Hence proved

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