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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’

1. 29

2. 29

3. Abhishek Tandon

29

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

4. 29

• Nice instruction, thanks

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