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?

Wow, these are some great thoughts. I stumbled into the area fact and a few (but not all!) of your other identities when working on a previous problem on here (it may well have been one of the respondents' problems). Now I want to find some free time to process and pull together all that has been said.

yeah right, free time :-) 

Posted by owl on 2005-03-01 15:04:44