Question

Find the length of the segment that starts at (3,4)and goes to (8,7).

Answer 1

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:

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

We then need to apply the coordinates of the given points:

`\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}`

The segment has a length of 6 units.