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How to Find Distance in GeoGebra

It is easy to find distances between points, lines and planes in GeoGebra. The only thing that requires a little extra work is to find the distance between a line and a plane. To find this distance you need to find a point on the line, and insert this point in the instructions below for the distance between point and point, line or plane. This is similar to the method of doing this by hand.

GeoGebra Instruction 1

Distance Between Point and Point, Line or Plane

1.
Open Algebra View and 3D Graphics under GeoGebra icon View in GeoGebra icon Menu.
2.
Enter your point and the other object (a second point, line, or plane)

Note! To use a line, it must be entered with the Line command.

3.
Enter

Distance(<Point>, <Object>)

in Algebra View. Fill in your point for <Point> and the point, line or plane for <Object>.

4.
The distance is now shown in Algebra View.

Screenshot of GeoGebra showing a point and a plane and how to find the distance

GeoGebra Instruction 2

Distance Between Two Lines

1.
Open Algebra View and 3D Graphics under GeoGebra icon View in GeoGebra icon Menu.
2.
Enter both of your lines using the Line command. This command has to be used in order for the Distance command to work in the next step.
3.
Enter

Distance(<Line>, <Line>)

Fill in the names of the two lines.

The distance is now shown in Algebra View.

Screenshot of GeoGebra showing two lines and how to find the distance

GeoGebra Instruction 3

Distance Between Two Planes

1.
Open Algebra View and 3D Graphics under GeoGebra icon View in GeoGebra icon Menu.
2.
Enter both of your planes either by using the commands in the entry about lines and planes, or define them in Algebra View using their equations.
3.
Enter

Distance(<Plane>, <Plane>)

Fill in the names of the two planes.

The distance is now shown in Algebra View.

Screenshot of GeoGebra showing two planes and how to find the distance

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