Given the line segment with end points B and C
Step 1: Write the coordinate of the end points and define the (x,y) values
[tex]\begin{gathered} B(3,2),x_1=3,y_1=2 \\ C(4,-1),x_2=4,y_2=-1 \end{gathered}[/tex]
Step 2: Write the formula for the distance between two points
[tex]|BC|=\sqrt[]{(x_2-x_1)^2+(y_2-y_1})^2[/tex]
Step 3: Substitute the values of x and y
[tex]\begin{gathered} |BC|=\sqrt[]{(4-3)^2+(-1-2})^2 \\ =\sqrt[]{1^2+(-3^2)} \\ =\sqrt[]{1+9} \\ =\sqrt[]{10}units \end{gathered}[/tex]
Hence, the length of the side BC is 3.16 units
OR
[tex]\sqrt[]{10}units[/tex]
