Constructing Tangents to Circles Practice Test

A circle $O$ has center $O$ and radius $7$. An external point $P$ satisfies $OP=25$. A tangent segment $PT$ touches the circle at $T$.

For the circle described, what is the length of the tangent segment $PT$?

Circle $O$ has center $O$ and radius $8$. An external point $P$ is located so that $OP=17$. Tangent segment $PT$ touches the circle at $T$. For the circle described, what is the length of the tangent segment $PT$?