Problem

Given the circle below with secants \( \overline{S T U} \) and \( \overline{W V U} \), find the length of \( \overline{S T} \). Round to the nearest tenth if necessary.

Solution

Step 1 :Let \(m(\angle STU)=a\) and \(m(\angle VWU)=b\)

Step 2 :Apply angle-bisector theorem: \(\frac{ST}{SV} = \frac{TU}{UW}\)

Step 3 :\(ST = \frac{SV*TU}{UW}\)

From Solvely APP
Source: https://solvelyapp.com/problems/34787/

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