

Problem 860: Triangle, Three Medians, Parallel, Parallelogram, Area,
Congruence. Level: High School, SAT Prep, College geometry

The figure shows a triangle ABC. with
the medians AM_{A}, BM_{B}, and CM_{C}.
BE is parallel to AC and M_{B}M_{A} extended
cuts BE at D. Prove that (1) AM_{A} = DM_{C}, BM_{B}
= DC; (2) Area of the triangle CDM_{C} is 3/4 the area of
the triangle ABC.


More Geometry Problems:




Heron's Formula with medians 

Geometry Problem 859
Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector. 

Geometry Problem 858
Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines. 

Geometry Problem 857
Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines. 






