Question

Find the length of ST. ST=?

Answer 1

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}}`