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Author: Annie Fetter
Description: teacher support active problem Geometry, difficulty level 3. ABC is half a square inscribed in a semicircle. Then a semicircle is constructed on AB. BD is then constructed, the perpendicular bisector of AC, and triangle ABD is shaded, as is the part of the outer semi-circle that's not part of the original semicircle that's not part of the original semicircle. What did Hippocrates prove about the two shaded regions?
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Problem page: http://mathforum.org/librarypow/puzzles/index2.ehtml?puzzle=567
Solution page: Problem #567

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