# Circle tangent triangle perimeter

Geometry Level 3

Points $$A$$ and $$B$$ lie on a circle $$\Gamma$$ with radius 123, such that their tangents intersect at $$C$$ and satisfy $$\angle ACB = 90^\circ$$. $$D$$ is a point chosen on minor arc $$AB$$ of circle $$\Gamma$$. The tangent at $$D$$ intersect $$AC$$ and $$BC$$ at $$E$$ and $$F$$ respectively. What is the perimeter of triangle $$CEF$$?

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