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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  laugh

 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

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