Question

Find the measure of the line segment indicated.

Assume that lines which appear tangent are tangent.
A) 10
B) 6
C) 14
D) 7

Answer 1

Option A. 10

Explanation:

we know that

Applying the Intersecting Secants Theorem

`QS*RS=CS*TS`

substitute the values

`(11x-1+8)*(8)=(9+7)*(9)`

solve for x

`(11x+7)*(8)=(16)*(9)`

`88x+56=144`

`88x=144-56`

`88x=88`

`x=1`

Find the measure of QR

`QR=11x-1=11(1)-1=10`