Maths-

General

Easy

Question

Hint:

**Hint :-** Applying pythagoras theorem to both triangles ABD and ADC. find the AD2 from both equations .Equate both the equations to get the required condition .

Get similarly equations for every altitude and add them

## The correct answer is: Hence proved

### Aim :- Prove that

Explanation(proof ) :-

Applying pythagoras theorem in ΔACD ,We get

– Eq1

Applying pythagoras theorem in ΔABD ,We get

—-Eq2

Substitute Eq2 in Eq1 ,

—- Eq3

Similarly , we get

—- Eq4

—- Eq5

Adding Eq3 ,Eq4 and Eq5

Hence proved

Applying pythagoras theorem in ΔABD ,We get

Substitute Eq2 in Eq1 ,

Similarly , we get

Adding Eq3 ,Eq4 and Eq5

Hence proved

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