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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

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I know that a side of the square is 10

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So DC equals 10
So AD equals 10
I do not know what DE equals, though
Are you trying to form a right triangle?
IF you are, one side would equal 5
So the height of the smaller triangle equals 2
do you add 10 plus 2?
You beat me to the height. nice job. But you don't add them yet.
well one side is 5
another side is 10 plus 2...
|dw:1347747944748:dw|You need to find the length of x in this.
so do you use pythagorean theorem?
x in that would be square root of 29
if you use pythagorean theorem
Right. So that means that DE=\(\sqrt{29}\) and AD=10.
12 squared plus 5 squared=169
square root of 169 is 13
Oh, yes. I was thinking of the wrong distance. That's correct.

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