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Let a triangle $ABC$. $M$ is a point inside triangle. Construct the line through M perpendicular to $MA, MB, MC$ and intersect $BC, CA, AB $ at $A_0,B_0,C_0$ respectively. Prove that $A_0,B_0,C_0$ are collinear.

I really don't know where to start. Menelaus? Inversion? enter image description here

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    In what kind of school is this a "homework"? It looks more difficult than what can be assigned in an ordinary class.2013-06-11

2 Answers 2