Question

What is the length of line segment PQ

Answer 1

5 units

Explanation:

Answer 2

The length of segment PQ is
`5\ units`

Explanation:

we know that

Applying the Intersecting Tangent-Secant Theorem

`MN^(2)=PN*QN`

we have

`MN=6\ units`

`PN=(x+4)\ units`

`QN=4\ units`

substitute

`6^(2)=(x+4)*4`

`36=4x+16`

`4x=36-16`

`4x=20`

`x=5\ units`

therefore

The length of segment PQ is
`5\ units`