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Two Midpoints of a Trapezoid

​
D
DN
≈
1.26
NE
≈
1.26
AM
≈
4.19
MC
≈
4.19
Let ABC be a triangle. Let D be a point on AB and DE be parallel to AC with E on BC. Let AE and DC intersect at F. Let BF intersect DE at N and AC at M. Then DN = NE and AM = MC.
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