# Question #0994c

##### 1 Answer

#### Explanation:

Orient the triangle so that BC, is on the x axis, point B is

The coordinates of point

Here is a graph of what I have described thus far:

Please observe that, the points A, B, and C are in black, the sides of

The slope of the line AC is the slope from point

The slope, n, of its perpendicular bisector is:

The perpendicular bisector will go through the midpoint between A and C:

The point-slope form of the equation of the perpendicular bisector is:

Here is a graph of the triangle with the perpendicular bisector:

The center of the circle is the point where this line intercepts the y axis:

The radius of the circle is the distance from the y intercept to point A

Here is a graph with the circle added.