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MathNet 2018-part-04 — 181 problems (EN–VI) Question 33

Math Olympiad Vault · MathNet 2018-part-04 — 181 problems (EN–VI)

Question 33

In the figure below, five circles are tangent to line $\ell$. Each circle is externally tangent to two other circles. Suppose that circles $A$ and $B$ have radii $4$ and $225$, respectively, and that $C_1$, $C_2$, $C_3$ are congruent circles. Find their common radius.

Question illustration