Answer:
The length of side XY is
![√(26)\ units](https://img.qammunity.org/2021/formulas/mathematics/high-school/53ul0xu4vb7rgkv4wspcb2qcnsy36zgwur.png)
Explanation:
The picture of the question in the attached figure
we know that
the formula to calculate the distance between two points is equal to
![d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/k8w8jf3efjehwebwzmarl4rkh1hj6b20u3.png)
we have that the coordinates of points X and Y are
X(4,2) and Y(3,-3)
substitute the given values in the formula
![d=\sqrt{(-3-2)^(2)+(3-4)^(2)}](https://img.qammunity.org/2021/formulas/mathematics/high-school/wp6g3pvj3p2jbjl8lkcifuowuuivghas1p.png)
![d=\sqrt{(-5)^(2)+(-1)^(2)}](https://img.qammunity.org/2021/formulas/mathematics/high-school/kfs1dlxmxjgbyp3vvejkmj8wixmi48njer.png)
![d=√(26)\ units](https://img.qammunity.org/2021/formulas/mathematics/high-school/9wvb6wjlplph290v9hiofh8s0b10dohmp8.png)
therefore
The length of side XY is
![√(26)\ units](https://img.qammunity.org/2021/formulas/mathematics/high-school/53ul0xu4vb7rgkv4wspcb2qcnsy36zgwur.png)