Answer:
The length of the line segment is;
[tex]7.62\text{ units}[/tex]
Explanation:
Given the line segment in the attached image.
Drawing a right angled triangle to get the length of the line segment;
We can then use pythagoras theorem to calculate length of the line segment;
[tex]c=\sqrt[]{a^2+b^2}[/tex]
From the attached image;
[tex]\begin{gathered} a=3 \\ b=7 \end{gathered}[/tex]
substituting the given values;
[tex]\begin{gathered} c=\sqrt[]{3^2+7^2} \\ c=\sqrt[]{9+49} \\ c=\sqrt[]{58} \\ c=7.62\text{ units} \end{gathered}[/tex]
Therefore, the length of the line segment is;
[tex]7.62\text{ units}[/tex]
