[tex]\begin{gathered} \text{The ordered pairs are given as,} \\ A(5,4),B(3,-1),C(7,-1) \\ \text{The length of the side can be calculated by this expression as follows:} \\ l=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ So,\text{ the length of the side AB is,} \\ l_{AB}=\sqrt[]{(3-5)^2+(-1-4)^2} \\ l_{AB}=\sqrt[]{4+25} \\ l_{AB}=\sqrt[]{29}\text{ unit} \\ So,\text{ the length of the side BC is,} \\ l_{BC}=\sqrt[]{(7-3)^2+(-1+1)^2} \\ l_{BC}=\sqrt[]{4^2+0^2} \\ l_{BC}=4\text{ unit} \\ So,\text{ the length of the side AC is,} \\ l_{AC}=\sqrt[]{(5-7)^2+(4+1)^2} \\ l_{AC}=\sqrt[]{2^2+5^2} \\ l_{AC}=\sqrt[]{29}\text{ unit} \end{gathered}[/tex]
