Three Subtriangles of a Triangle

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A cevian is a line drawn from a vertex of a triangle to the opposite side.

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Let ABC be a triangle. Let BB' and CC' be cevians. Let M and N be the midpoints of BB' and CC' respectively. Let R and S be the points of intersection of AM and AN with C'B'. Then .

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Contributed by: Jay Warendorff (March 2011)
After work by: Antonio Gutierrez
Open content licensed under CC BY-NC-SA


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The statement of the theorem is in Problem 89. Triangle area, Midpoints.



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