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The circle with center $A$ and radius $10$ and the circle with center $B$ and radius $17$ are externally tangent. A line that is externally tangent to both circles is drawn, where both circles lie on the same side of the line. This common tangent intersects line $AB$ at $C$ Find the length $BC$

 Oct 20, 2021
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Similar triangles.smiley

 Oct 21, 2021

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