## luisz 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. luisz

|dw:1347747550774:dw|

2. luisz

ABCDE

3. luisz

I know that a side of the square is 10

4. luisz

So DC equals 10

5. luisz

6. luisz

I do not know what DE equals, though

7. ganeshie8

|dw:1347747747441:dw|

8. luisz

hmm

9. luisz

Are you trying to form a right triangle?

10. luisz

IF you are, one side would equal 5

11. luisz

So the height of the smaller triangle equals 2

12. luisz

do you add 10 plus 2?

13. KingGeorge

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

14. luisz

ok

15. luisz

well one side is 5

16. luisz

another side is 10 plus 2...

17. KingGeorge

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

18. luisz

so do you use pythagorean theorem?

19. luisz

x in that would be square root of 29

20. luisz

if you use pythagorean theorem

21. KingGeorge

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

22. luisz

12 squared plus 5 squared=169

23. luisz

square root of 169 is 13

24. luisz

x=13?

25. KingGeorge

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

26. luisz

yes!!!!!