areas by 3 cevians (2023 Adygea Teachers' Geometry Olympiad p3)
Source:
February 28, 2024
geometryareas
Problem Statement
Three cevians are drawn in a triangle that do not intersect at one point. In this case, triangles and quadrangles were formed. Find the sum of the areas of the quadrilaterals if the area of each of the four triangles is .