SEAMO 2027 - Paper E - SET 06 - Self-study Question 2

Circles $O_1$ and $O_2$ have radii $16$ and $9$, respectively, and are externally tangent at $A$. Point $B$ is chosen on circle $O_1$ such that $AB=8$, and $BC$ is tangent to circle $O_2$ at $C$. Compute $BC$.



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