### Home > MC2 > Chapter 11 > Lesson 11.2.1 > Problem11-32

11-32.

Graph each of the pairs of points listed below and draw a line segment between them. Use the graph to help you find the length of each line segment. .

1. $\left(–3, 0\right)$ and $\left(0, –3\right)$

Draw a triangle using the segment as your hypotenuse. Then find out the lengths of the legs.

Use the Pythagorean Theorem to find the length of the hypotenuse.

$3^2 + 3^2 =$ hypotenuse$^{2}$
Now solve for the hypotenuse.

$\sqrt{18} \approx 4.24 \;\text{units}$

1. $\left(2, 3\right)$ and $\left(–1, 2\right)$

See part (a).

Use the Pythagorean Theorem to find the length of the segment.

1. $\left(3, 2\right)$ and $\left(3, –3\right)$

Use the graph to find the length of the segment.

Use the eTool below to graph each segment.
Click the link at right for the full version of the eTool: MC2 11-32 HW eTool (Desmos)