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General

Easy

Question

# In △ABC, ∠B=90^{∘} and is the mid point of BC. Prove that

## The correct answer is: Hence proved

### Hint :- use pythagoras theorem in triangle ABD and ABC

Hint :- use pythagoras theorem in triangle ABD and ABC

We get and subtract them and substitute BC = 2BD

In the equation to get the result.

Explanation(proof ) :-

Applying pythagoras theorem in triangle ABC,we get

—- Eq1

Applying pythagoras theorem in triangle ABD ,we get

Eq2

As AD is median , D is mid point then BC = 2BD

Subtract Eq1 - Eq2

We get,

Hence proved

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