Online Geometry Problems

Geometry Problem 90. Area of Triangle and Quadrilateral, Midpoints of Diagonals, Median of a triangle. High School, College, Math Education

In the figure below, given a triangle AED, M and N are the midpoints of cevians AC and DB respectively. If S1 and S are the areas of the triangle MEN and the quadrilateral ABCD respectively, prove that: Quadrilateralarea formula.

Quadrilateral area problem



1. CEVIAN: A Cevian is a line segment which joins a vertex of a triangle with a point on the opposite side (or its extension).

2. See Problems 87, 89

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