Maths-

General

Easy

Question

Hint:

**Hint :-** Using pythagoras theorem in triangle ABE and ACE find AB2 and AC2

Now add the and using the midpoint condition and do necessary modification to get the required result.

## The correct answer is: Hence proved

### Aim :- Prove that

Explanation(proof ) :-

AD is median so we get BD = DC

EC = DC-DE EC = BD - DE

Applying pythagoras theorem in ΔABD ,We get

Substitute BE = BD+DE (from diagram)

—Eq1

Applying pythagoras theorem in ΔABD ,We get

Substitute EC = BD - DE as we got above

—Eq2

Applying pythagoras theorem in ΔADE ,We get

—Eq3

Adding Eq1 and Eq2 we get,

As we know

Substitute Eq3 in the above equation

We get,

Hence proved

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