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A circle centered at A with radius 10 is externally tangent to a circle centered at B with radius 7. A line that is externally tangent to both circles is drawn, where both circles lie on the same side of the line. This line intersects line AB at C. Find the length BC.

 

 Apr 16, 2020
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Drop perpendiculars from A and another from B to meet the tangent line.

Now you have 2 similar right angled triangles

Let x=length BC

Now use ratios in similar triangles to solve for x

 Apr 16, 2020

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