largest area by 2 cevians in a triangle
Source: 2023 Swedish Mathematical Competition p2
March 24, 2024
geometry
Problem Statement
A triangular colony area is divided into four fields of varying size as shown in the figure below shows. The only other thing we know is that the distances , , and have the lengths , , and respectively (in s of m). When the lots are distributed, Joar gets to choose first. Which lot should he choose to get the one with the largest area?
https://cdn.artofproblemsolving.com/attachments/9/5/073e2699d54c8ee3a4dd7d23b69c2a894fd93e.png