Thread: 9-point circle prob

the feet of the altitudes decompose the nine-point circle into 3 arcs.Assume that the triangle is scalene.Prove that the remaining six of the nine points are distributed among the three arcs as follows: one arc contains just one of the six points, another contains two, and the third contains three

This just basically involves drawing it all out and using the facts that compose a 9 point circle. if you draw it out right, it should work