## Quant Question Of The Day : 18

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# Geometry

In the diagram, ∠CAB = 90º. Point D is on AB and point E is on AC so that AB = AC = DE , BD = 9 , EC = 8 . Determine the length of DE.

### Solve our previous ‘questions of the day’

Quant Question Of The Day : 17

Quant Question Of The Day : 16

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Correct! Aaradhya.

Take a shot at today’s question: http://tathagat.mba/quant-question-of-the-day-19/

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Well done ! Shubhra

Try today’s ‘ Question of the Day ‘ : http://tathagat.mba/quant-question-of-the-day-19/

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Let AB=AC=DE= z

z= y+8=x+9

So, y=x+1

z^2=x^2+y^2

Substitute y

z^2= 2x^2+2x+1…(1)

2z^2= (y+8)^2 + (x+9)^2

Substitute y

z^2= 34x+161….(2)

On solving (1) and (2)

z=29

Well done ! Abhishek . Try today’s Question: http://tathagat.mba/quant-question-of-the-day-19/

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