Question

What is the length of the line segment shown in the image?

Answer 1

The length of the line segment is;

`7.62\text{ units}`

Step-by-step 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;

`c=\sqrt[]{a^2+b^2}`

From the attached image;

`\begin{gathered} a=3 \\ b=7 \end{gathered}`

substituting the given values;

`\begin{gathered} c=\sqrt[]{3^2+7^2} \\ c=\sqrt[]{9+49} \\ c=\sqrt[]{58} \\ c=7.62\text{ units} \end{gathered}`

Therefore, the length of the line segment is;

`7.62\text{ units}`