Concurrency via Midpoints
Concurrency via Midpoints
Let ABC be a triangle and P be an internal point. Let AP, BP, and CP intersect the sides BC, CA, and AB in A', B', and C'. Let L, M, and N be the midpoints of the sides of ABC and L', M', and N' be the midpoints of the sides of A'B'C'. Then LL', MM', and NN' are concurrent.