SMT 2020 Geometry #10
Source:
August 9, 2023
geometry
Problem Statement
Three circles with radii , , and are tangent to each other as shown in the figure below (figure is not drawn to scale). Find the radius of the largest circle that can fit inside the shaded region.
https://cdn.artofproblemsolving.com/attachments/6/d/158abc178e4ddd72541580958a4ee2348b2026.png