Semicircles are drawn on two sides of square ABCD as shown. Point E is the center of the square, and QAP is a line segment with QA = 7 and AP = 23. Compute AE.
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Credits – Southern California ARML, Oct. 2009, Individual round; image credit goes to David (I think)
Yay.
[spoiler] 17 [/spoiler]
yay ^_^