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Common External Tangents

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Explanations 1

The common external tangent of two circles is the line that is tangent to both circles. The points of tangency are distinct and does not pass in between the circles like a commo…
By Val Choung

Problems 2

Find X+YX + YX+Y.
Let Ω1\Omega_1Ω1 and Ω2\Omega_2Ω2 be two circles in the plane. Suppose the common external tangent to Ω1\Omega_1Ω1 and Ω2\Omega_2Ω2 has length 201720172017 while their commo…