What is the length of ST?

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Question:

What is the length of ST?

Answer:

To solve the exercise shown in the figure attached, you must apply the proccedure shown below:
 1. You must apply the Tangent Secant Segment Theorem, as following:
 ST²=QTxRT
 2. Now, solve for ST:
 ST=√(QTxRT)
 3. Subtitute the values:
 ST=√(23+7)(7)
 ST=14.49 inches
 The anwers is: 14.49 inches.

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