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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.

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.