MathDB
TOT 165 1988 Spring Train J2 equal areas of triangles

Source:

May 9, 2020
geometryareasmidpointequal areas

Problem Statement

We are given convex quadrilateral ABCDABCD. The midpoints of BCBC and DADA are MM and NN respectively. The diagonal ACAC divides MNMN in half. Prove that the areas of triangles ABCABC and ACDACD are equal .