Q:

J(–6, 2) and K(3, 2) are the endpoints of the base of an isosceles triangle. Give the x-coordinate of the third vertex.

Accepted Solution

A:
Answer:Step-by-step explanation:If you plot J and K in a coordinate plane, you see that the line formed is a perfectly horizontal line through y = 2.  In order for this triangle to be an isosceles, the third x-coordinate would have to be located midway through the x-coordinates of the base.  The midpoint between the x-coordinates is found by adding the 2 x-coordinates and dividing the sum by 2.  -6+\3 = -3 and -3/2 = -3/2.  So the x-coordinate is -3.2 or -1.5