MathDB

Problem 3

Part of CVM 2020

Problems(1)

2020 CVM - Problem 3

Source: CVM 2020

7/16/2020
In △ABC\triangle ABC we consider the points A′,B′,C′A',B',C' in sides BC,AC,ABBC,AC,AB such that 3BA′=CA′, 3CB′=AB′, 3AC′=BA′3BA'=CA',~3CB'=AB',~3AC'=BA'△DEF\triangle DEF is defined by the intersections of AA′,BB′,CC′AA',BB',CC'. If the are of △ABC\triangle ABC is 20202020 find the area of △DEF\triangle DEF.
Proposed by Alejandro Madrid, Valle
geometry