Chapter 13.7, Problem 18PSB

To determine

To find: The two possibilities for the coordinate of C .

Answer to Problem 18PSB

The possible coordinates are $\left(-6,1\right),\left(0,1\right)$ .

Explanation of Solution

Given:

The base of the isosceles triangle is $\overline{AB}$ .

The vertices are $A\left(-3,-2\right),B\left(-3,4\right)$ .

Calculation:

From the given vertices the point are 3 unit to the right and 3 unit to the left of the midpoint of the base.

As, the triangle is isosceles, the points are either vertically up from the midpoint or vertically down from the midpoint.

Thus, the possible coordinates are $\left(-6,1\right),\left(0,1\right)$ .