Problem of the Day #2

October 20th, 2009 by ben Leave a reply »

arml-oct09-i4

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.

(Click image for larger size.)

Credits – Southern California ARML, Oct. 2009, Individual round; image credit goes to David (I think)

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2 comments

  1. Andy says:

    Yay.
    [spoiler] 17 [/spoiler]

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