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SMO 2006 Senior Round 1 Question 15

SMO · SMO 2006 Senior Round 1

Question 15

$\triangle ABC$ is right-angled with $\angle ABC=90^\circ$. A circle $C_1$ is drawn with $AB$ as diameter, and another circle $C_2$ with $BC$ as diameter. The circles meet at $B$ and $P$. If $AB=5$ cm, $BC=12$ cm, and $BP=x$ cm, find $2400/x$.

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