The Square of a Median in Terms of the Triangle's Sides

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Let ABC be a triangle and AM be a median (the line from A to the midpoint M of BC). Then .

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


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See Theorem 106 in N. Altshiller-Court, College Geometry, 2nd ed., Mineola, NY: Dover, 2007 p. 70.



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