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.

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Accepted Answer

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})

Answer

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})

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.

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