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Broken Hypotenuse (Posted on 2005-02-28) Difficulty: 3 of 5
Consider a right triangle with an inscribed circle. Let x and y be the lengths of the two line segments formed on the hypotenuse by the point of tangency with the circle. What interesting fact can you prove about x*y?

See The Solution Submitted by owl    
Rating: 3.8000 (5 votes)

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A Thought | Comment 1 of 11
let A and B be the side of the triangle. If x segment has common vertix with A then

x/y = A^2/B^2.

The ratio of x and y is sqaure of the ration between A and B.

  Posted by Sachin on 2005-02-28 18:34:41
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