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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.

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      EUN,LOM,LRE4,work-cmr-id:397866,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/ConcurrencyViaMidpoints/,ilox,learning resource exchange,LRE metadata application profile,LRE

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