2022 Tournament of towns Spring A-level JA5=SA3
Source: 2022 Tournament of towns spring A-level
May 9, 2022
geometryincircles
Problem Statement
The intersection of two triangles is a hexagon. If this hexagon is removed, six small triangles remain. These six triangles have the same in-radii. Prove the in-radii of the original two triangles are also equal.
Spoiler:
This is one of the highlights of TT. Also SA3