# What is the distance between the points (0, 2) and (-2, 0)?

1
by Seinpanda775

2015-05-07T19:47:15+08:00

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Whenever we need to find the distance of two point we are looking for the hypotenuse of a right triangle.

We need to use the Pythagorean Theorem to find the hypotenuse.

The Pythagorean Theorem is:

This applies to only to right triangles. a and b are the side lengths of the legs while c is the length of the hypotenuse.

In a Cartesian plane the side lengths a and b are represented like this:

So the Pythagorean Theorem would be:

We have  as
and  as

We substitute the values to the Pythagorean theorem:

The distance between the points cannot be negative so only the positive square root is considered. Therefore the distance between the points is  units.