Question

Given: RS is tangent to circle Q.9SRFind the value of x.491216

Answer 1

According to the tangent-secant theorem, we know that:

`x^2=9*(7+9)`

Solve for x^2:

`\begin{gathered} \Rightarrow x^2=9*16 \\ \Rightarrow x^2=144 \\ \Rightarrow x=\sqrt[]{144} \\ \Rightarrow x=12 \end{gathered}`

Therefore, the value of x is:

`12`