MathDB
area chasing, line from midpoint of median to vertice 1992 Kyiv City MO 10.4

Source:

July 20, 2021
geometryareas

Problem Statement

In the triangle ABCABC, the median BDBD is drawn and through its midpoint and vertex AA the line \ell. Thus the triangle ABCABC is divided into three triangles and one quadrilateral. Determine the areas of these figures if the area of ​​triangle ABCABC is equal to SS.