Question

Find the length of ST. ST=?

Answer 1

Answer:

ST = 7

Step-by-step explanation:

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

• $RS(RS +ST) = RQ (RQ+QP)$

• $\implies 11(11 +ST) = 9 (9+13)$

• $\implies 11(11 +ST) = 9 *22$

• $\implies 11 +ST =\frac{ 9 *22}{11}$

• $\implies 11 +ST =18$

• $\implies ST =18-11$

• $\implies\huge\orange{\boxed{ ST =7}}$