Step-by-step explanation:
Remember: the midsegment is always parallel to the third side, and the length is half of the third side. (Third side = XY) Assuming that line segment XY is the length of the third side of the triangle, we can insert it into this equation:
[tex]m=\frac{AB}{2}[/tex]
Let's plug in XY for AB.
[tex]m = \frac{XY}{2}[/tex]
[tex]m=\frac{12}{2} \\[/tex]
[tex]AC=6[/tex]
Our final answer: AC = 6
