perplexus.info :: Geometry : Broken Hypotenuse

Broken Hypotenuse (Posted on 2005-02-28)

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?

Submitted by owl

Rating: 3.8000 (5 votes)

Solution: (Hide)

x*y is the area of the triangle.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Thoughts	K Sengupta	2024-07-22 06:20:09
re: Solution	K Sengupta	2022-02-04 07:24:01
re: A possible solution	Federico Kereki	2005-03-02 10:46:28
re: No Subject	Richard	2005-03-01 16:56:57
Cool Thoughts	owl	2005-03-01 15:04:44
No Subject	TomM	2005-03-01 10:49:53
Another Solution	Richard	2005-03-01 00:48:56
re: Solution	Sachin	2005-02-28 19:28:24
re: A possible solution (same result different way)	Jer	2005-02-28 19:03:11
Solution	Richard	2005-02-28 18:49:33
A possible solution	Old Original Oskar!	2005-02-28 18:39:37
A Thought	Sachin	2005-02-28 18:34:41

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