MathDB
2015 Team #15

Source:

August 3, 2022
2015team test

Problem Statement

In a given acute triangle △ABC\triangle ABC with the values of angles given (known as aa, bb, and cc), the inscribed circle has points of tangency D,E,FD,E,F where DD is on BCBC, EE is on ABAB, and FF is on ACAC. Circle γ\gamma has diameter BCBC, and intersects EF‾\overline{EF} at points XX and YY. Find XYBC\tfrac{XY}{BC} in terms of the angles aa, bb, and cc.
Back to ProblemsView on AoPS