MathDB
SMT 2023 Geometry #4

Source:

August 9, 2023
geometry

Problem Statement

Equilateral triangle △ABC\vartriangle ABC is inscribed in circle Ω\Omega, which has a radius of 11. Let the midpoint of BCBC be MM. Line AMAM intersects Ω\Omega again at point DD. Let ω\omega be the circle with diameter MDMD. Compute the radius of the circle that is tangent to BC on the same side of BCBC as ω\omega, internally tangent to Ω\Omega, and externally tangent to ω\omega.
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