1954 AHSME Problems/Problem 26

Problem 26

https://artofproblemsolving.com/community/c4h256249s1_lines_and_circles The straight line $\overline{AB}$ is divided at $C$ so that $AC=3CB$ . Circles are described on $\overline{AC}$ and $\overline{CB}$ as diameters and a common tangent meets $AB$ produced at $D$ . Then $BD$ equals:

$\textbf{(A)}\ \text{diameter of the smaller circle} \\ \textbf{(B)}\ \text{radius of the smaller circle} \\ \textbf{(C)}\ \text{radius of the larger circle} \\ \textbf{(D)}\ CB\sqrt{3}\\ \textbf{(E)}\ \text{the difference of the two radii}$

Solution

1954 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 25	Followed by Problem 27
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1954 AHSME Problems/Problem 26

Problem 26

Solution

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