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Find the length of ST. ST=?

Find the length of ST. ST=?-example-1
User Tim Walsh
by
7.0k points

1 Answer

14 votes

Answer:

ST = 7

Explanation:

  • By the theorem of intersecting secants outside of a circle, we have:


  • RS(RS +ST) = RQ (RQ+QP)


  • \implies 11(11 +ST) = 9 (9+13)


  • \implies 11(11 +ST) = 9 *22


  • \implies 11 +ST =( 9 *22)/(11)


  • \implies 11 +ST =18


  • \implies ST =18-11


  • \implies\huge\orange{\boxed{ ST =7}}
User Sanandrea
by
6.4k points
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