Geometry Problems, Online Education

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 AMA, BMB, and CMC. BE is parallel to AC and MBMA extended cuts BE at D. Prove that (1) AMA = DMC, BMB = DC; (2) Area of the triangle CDMC is 3/4 the area of the triangle ABC.

 

Triangle, three Medians, Parallel, Area
 

 

 

More Geometry Problems:

Online education degree: geometry problems 131-140

Heron's Formula with medians 

Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector

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

Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines

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

Problem 856: Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines

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

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