# From the Pythagorean Theorem to the Distance Formula 06:25 minutes

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**About this Video Lesson**

## Description

After this lesson, you will be able to derive the Distance Formula from the Pythagorean Theorem and use the Distance Formula to find the distance between two points.

The lesson begins by teaching you to visualize a distance between two points in the coordinate plane as the hypotenuse of a right triangle. It leads you to learn that the legs of the right triangle are found by subtracting the ‘x’ or ‘y’ coordinates of the points. It concludes with using the Pythagorean Theorem to find the hypotenuse and develop the Distance Formula.

Learn about the Distance Formula by helping the villagers and dragons of Nanjie find their way to the temple!

This video includes key concepts, notation, and vocabulary such as the Pythagorean Theorem (the sum of the squares of the legs of a right triangle equal the square of the hypotenuse); and points in the coordinate plane (each point consists of an x and y value); and the Distance Formula (the formula which allows us to plug in the coordinates of two points and get the distance between them).

Before watching this video, you should already be familiar with the Pythagorean Theorem and graphing points in the coordinate plane.

After watching this video, you will be prepared to learn how to use the Distance Formula to find the distance between any two points in the coordinate plane.

Common Core Standard(s) in focus: 8.G.B.8

A video intended for math students in the 8th grade

Recommended for students who are 13 - 14 years old

### The Author

**Chris Sexton**

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**From the Pythagorean Theorem to the Distance Formula**