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Circle in hypotenuse (Posted on 2003-11-14) Difficulty: 3 of 5
Prove that if you draw a right triangle and then draw a circle with its center on the hypotenuse's midpoint such that it intersects at least 1 vertex, it will in fact intersect all three.

See The Solution Submitted by Antonio    
Rating: 2.5000 (4 votes)

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Theorem - Drew | Comment 9 of 13 |
Drew, there is a theorem which states something to the effect that if the diagonal of a circle forms one side of a triangle, and the third vertex lies on the circumference of the circle, then the triangle is right-angled.

Prove this theorem, quote the corollary, and I believe you have the solution which Antonio requires
  Posted by brianjn on 2003-11-26 23:51:46
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