Chapter 14, Problem 2ASNE

To determine

To fill : in the blank.

Answer to Problem 2ASNE

If $J$ is a point outside $\odot P$ and $\overline{JA}$ and $\overline{JB}$ are tangents to $\odot P$ with $A$ and $B$ on $\odot P$ , then $\Delta JAB$ is $\underset{\_}{\text{ never }}$ scalene.

Explanation of Solution

Given information : If $J$ is a point outside $\odot P$ and $\overline{JA}$ and $\overline{JB}$ are tangents to $\odot P$ with $A$ and $B$ on $\odot P$ , then $\Delta JAB$ is _________ scalene.

If $J$ is a point outside $\odot P$ and $\overline{JA}$ and $\overline{JB}$ are tangents to $\odot P$ with $A$ and $B$ on $\odot P$ , then $\Delta JAB$ is $\underset{\_}{\text{ never }}$ scalene.

Because the tangent from external point of a circle on to the circle are congruent. The triangle which has the tangent as the two sides cannot be scalene.