Tangent Problem #1

monges theorem puzzle β = 36.87o     AD = 3cm γ = 28.07o     BE = 2cm θ = 22.62o     CF = 1cm All straight lines are tangent to 2 circles, except DG, which is tangent to all 3 circles. Find the length DF. *this puzzle was inspired by Monge’s Circle Theorem. Special thanks to John Golden who helped create a geometrically correct construction.

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