# A Concurrency Involving the Midpoints of the Sides and the Altitudes

A Concurrency Involving the Midpoints of the Sides and the Altitudes

Let ABC be a triangle and let A', B', and C' be the midpoints of the sides opposite A, B, and C. Let A", B'', and C'' be the midpoints of the altitudes from A, B, and C, respectively. Then A'A'', B'B'', and C'C'' are concurrent.