To find the length of a segment delimited by two points we need to find the distance between said points. This is done by using the following expression:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]We then need to apply the coordinates of the given points:
[tex]\begin{gathered} d=\sqrt[]{(8-3)^2+(7-4)^2} \\ d=\sqrt[]{5^2+3^2} \\ d=\sqrt[]{25+9=\sqrt[]{36}} \\ d=6 \end{gathered}[/tex]The segment has a length of 6 units.
