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# Geometry

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Two circles with radius 1 are externally tangent at B, and have $$\overline{AB}$$ and $$\overline{BC}$$ as diameters. A tangent to the circle with diameter $$\overline{BC}$$ passes through A, and a tangent to the circle with diameter $$\overline{AB}$$ passes through C, so that the tangent lines are parallel. Find the distance between the two tangent lines.

Aug 10, 2020

#1
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The distance is  1 1/3

Aug 10, 2020
#2
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Yes, I got   4/3 too.

See if you can work it out from my pic.

Aug 10, 2020