Question

what is ot?
ot = \square

Explanation:

Step1: Use the property of tangents from a common external point

Tangents from a common external point to a circle are equal in length. So, \(PO = PQ\), \(OT=TS\), and \(QR = RS\).
Let \(OT = x\). Then \(TS=x\). Since \(PQ = PO = 9\), and \(QR=RS = 19 - 9=10\).

Step2: Calculate the length of \(TR\)

We know that \(TR=TS + SR\). Also, \(TR\) can be calculated using the fact that if we consider the triangle's tangent - segment relationships.
Since \(PQ = 9\), \(QR = 10\), and using the property \(OT=TS\), \(PO = PQ\), \(QR = RS\)
We have \(OT=10\)

Answer:

\(10\)