Given,
The measure of PQ is 24.
The measure of RQ is 17.
Required:
The measure of SR.
If a secant and tangent are drawn to a circle from the same external point, the product of length of the secant and its external segment equal the square of the length of the tangent segment.
[tex]\begin{gathered} SQ\times QR=PQ^2 \\ (SR+RQ)\times QR=PQ^2 \\ (SR+17)\times17=24^2 \\ 17SR+289=576 \\ 17SR=287 \\ SR=16.9 \end{gathered}[/tex]
Hence, the value of SR is 16.9
