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 Two Crescents (Posted on 2004-08-11)
Given a right triangle, draw the three following semicircles:
1. The semicircle with diameter formed by one of the legs and extending away from the triangle.
2. The semicircle with diameter formed by the other leg and extending away from the triangle.
3. The semicircle with diameter formed by the hypotenuse and extending towards the triangle.

Prove that the area of the two crescents (shown in RED and BLUE) formed by the three semicircles equals the area of the triangle.

 No Solution Yet Submitted by ThoughtProvoker Rating: 3.2000 (10 votes)

 Subject Author Date Folding's too hard. broll 2016-02-03 05:17:04 re: I'm I missing something? Vee-Liem Veefessional 2010-03-24 02:56:26 I'm I missing something? Axorion 2007-11-20 02:30:28 Simple Solution Tim Norwood 2006-01-22 13:52:25 Better Written CeeAnne 2004-10-16 01:38:43 About That Simpler Proof CeeAnne 2004-10-13 05:49:14 Simpler Proof CeeAnne 2004-10-11 16:35:37 Too Familiar CeeAnne 2004-09-28 02:14:05 2x Elisabeth 2004-08-13 21:04:56 Simple Federico Kereki 2004-08-11 10:52:33 Cute nikki 2004-08-11 09:42:35 I like it because... Larry 2004-08-11 08:23:27 re: so what Vee-Liem Veefessional 2004-08-11 06:57:42 Vehe! Vee-Liem Veefessional 2004-08-11 06:50:28 so what Ady TZIDON 2004-08-11 06:43:06

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