## anonymous 3 years ago In the figure above, ED=EC, the area of square ABCD is 100, and the area of triangle DEC is 10. Find the distance from A to E

1. anonymous

|dw:1347747550774:dw|

2. anonymous

ABCDE

3. anonymous

I know that a side of the square is 10

4. anonymous

So DC equals 10

5. anonymous

6. anonymous

I do not know what DE equals, though

7. ganeshie8

|dw:1347747747441:dw|

8. anonymous

hmm

9. anonymous

Are you trying to form a right triangle?

10. anonymous

IF you are, one side would equal 5

11. anonymous

So the height of the smaller triangle equals 2

12. anonymous

do you add 10 plus 2?

13. KingGeorge

You beat me to the height. nice job. But you don't add them yet.

14. anonymous

ok

15. anonymous

well one side is 5

16. anonymous

another side is 10 plus 2...

17. KingGeorge

|dw:1347747944748:dw|You need to find the length of x in this.

18. anonymous

so do you use pythagorean theorem?

19. anonymous

x in that would be square root of 29

20. anonymous

if you use pythagorean theorem

21. KingGeorge

Right. So that means that DE=$$\sqrt{29}$$ and AD=10.

22. anonymous

12 squared plus 5 squared=169

23. anonymous

square root of 169 is 13

24. anonymous

x=13?

25. KingGeorge

Oh, yes. I was thinking of the wrong distance. That's correct.

26. anonymous

yes!!!!!

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