MathDB

5

Part of 1997 Argentina National Olympiad

Problems(1)

locus of points P with equal triangle areas (ABP)=(CDP)

Source: 1997 Argentina OMA L3 p5

6/11/2020
Given two non-parallel segments ABAB and CDCD on the plane, find the locus of points PP on the plane such that the area of triangle ABPABP is equal to the area of triangle CDPCDP.
geometryLocusarea of a triangleequal areas