# On a map, Lisa’s house has coordinates (2, 0). If her school has coordinates (0, -2), what is the distance between Lisa’s house and her school?

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

The Pythagorean Theorem states that:

The Pythagorean Theorem applies to right triangles only. 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 the coordinates of her house or

and as the coordinates of her school or

We substitute the values to the Pythagorean theorem:

c cannot be negative since it is a side length.

Therefore the hypotenuse is units

The Pythagorean Theorem states that:

The Pythagorean Theorem applies to right triangles only. 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 the coordinates of her house or

and as the coordinates of her school or

We substitute the values to the Pythagorean theorem:

c cannot be negative since it is a side length.

Therefore the hypotenuse is units