Suppose \(S_1\) and \(S_2\) are two unequal circles; \(A B\) and \(C D\) are the direct common t....

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Suppose \(S_1\) and \(S_2\) are two unequal circles; \(A B\) and \(C D\) are the direct common tangents to these circles. A transverse common tangent \(P Q\) cuts \(A B\) in \(R\) and \(C D\) in \(S\). If \(A B=10\), then \(R S\) is.
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