luisz
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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luisz
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dw:1347747550774:dw

luisz
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ABCDE

luisz
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I know that a side of the square is 10

luisz
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So DC equals 10

luisz
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So AD equals 10

luisz
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I do not know what DE equals, though

ganeshie8
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dw:1347747747441:dw

luisz
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hmm

luisz
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Are you trying to form a right triangle?

luisz
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IF you are, one side would equal 5

luisz
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So the height of the smaller triangle equals 2

luisz
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do you add 10 plus 2?

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

luisz
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ok

luisz
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well one side is 5

luisz
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another side is 10 plus 2...

KingGeorge
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dw:1347747944748:dwYou need to find the length of x in this.

luisz
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so do you use pythagorean theorem?

luisz
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x in that would be square root of 29

luisz
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if you use pythagorean theorem

KingGeorge
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Right. So that means that DE=\(\sqrt{29}\) and AD=10.

luisz
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12 squared plus 5 squared=169

luisz
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square root of 169 is 13

luisz
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x=13?

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

luisz
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yes!!!!!