*Incircle, Excircles, and the 9-Point Circle

Facts: [br][list][*]point I is the center of your triangle's incircle.[/*][*]point N is the center of the 9-point circle[/*][*]points H, M, & L are circle N's points of tangency with the excircles. [/*][*]point O is where circle N and circle I are tangent to each other. [br][/*][/list]
There are four circles tangent to three sides of a triangle...
And one circle tangent to all four circles.
9-Point Circle
What do you think the 9 points of the 9 point circle are?
Can you construct a 9-Point Circle Below? (worth 5 points on any former assessment; capped at 92%).
Close
– Ambi Bobmanuel, Steve Phelps

Information: *Incircle, Excircles, and the 9-Point Circle