Question

If OP = 14, SQ = 7, and QR = 24, find OR

Answer 1

`\begin{gathered} SR=\sqrt[]{QR^2+SQ^2} \\ SR=\sqrt[]{24^2+7^2} \\ SR=\sqrt[]{625} \\ SR=25 \end{gathered}`

Therefore:

`(OP)/(SQ)=(OR)/(SR)`
`\begin{gathered} (14)/(7)=(OR)/(25) \\ so\colon \\ OR=25\cdot2 \\ OR=50 \end{gathered}`