Solution:
Given the vertices;
[tex]A(1,2),B(5,-4).C(-3,2)[/tex]
Then;
[tex]\begin{gathered} |AB|=\sqrt{(-4-2)^2+(5-1)^2} \\ \\ |AB|=2\sqrt{13} \\ \end{gathered}[/tex]
Then;
[tex]\begin{gathered} |BC|=\sqrt{(2-(-4))^2+(-3-5)^2} \\ \\ |BC|=10 \end{gathered}[/tex][tex]\begin{gathered} |AC|=\sqrt{(2-2)^2+(-3-1)^2} \\ \\ |AC|=4 \end{gathered}[/tex]
