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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)

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 Vehe! | Comment 2 of 15 |

Wonder if it has anything to do with the great Pythagoras theorem. I great question! Must spend time cracking my head!

Great problem!

The problem of the year!

I will be back with the solution!

Promise!

 Posted by Vee-Liem Veefessional on 2004-08-11 06:50:28

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