Answer:
The length of line segment BC is;
[tex]BC=\sqrt[]{65}[/tex]
Explanation:
Given the graph in the attached image
The coordinates of B and C is;
[tex]\begin{gathered} B(3,5) \\ C(2,-3) \end{gathered}[/tex]
Recall that the formula to calculate the distance between two points is;
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
substituting the coordinates, we have;
[tex]\begin{gathered} BC=\sqrt[]{(2-3)^2+(-3-5)^2} \\ BC=\sqrt[]{(-1)^2+(-8)^2} \\ BC=\sqrt[]{1+64} \\ BC=\sqrt[]{65} \end{gathered}[/tex]
Therefore, the length of line segment BC is;
[tex]BC=\sqrt[]{65}[/tex]
