### Conceptual Animation of ** Pythagorean Theorem**

### The **Formula**

The picture below shows the formula for the Pythagorean theorem. In the pictures below, side C is always the hypotenuse. Remember that this formula only applies to right triangles.

**Examples** of the Pythagorean Theorem

When you use the Pythagorean theorem, just remember that the hypotenuse is always 'C' in the formula above . Look at the following examples to see pictures of the formula.

**Video** Tutorial

on How to Use the Pythagorean Theorem

**Step By Step** Examples

of Using the Pythagorean Theorem

##### Example 1 (solving for the hypotenuse)

Use the Pythagorean theorem to determine the length of X

Step 1Identify the legs and the hypotenuse of the right triangle.

The legs have length '6 and '8' . 'X' is the hypotenuse because it is opposite the right angle.See Picture

Substitute values into the formula (remember 'c' is the hypotenuse)

$ A^2+ B^2= \red C^2 \\ 6^2+ 8^2= \red X^2 $

Solve for the unknown

##### Example 2 (solving for a Leg)

Use the Pythagorean theorem to determine the length of X

Step 1Identify the legs and the hypotenuse of the right triangle.

The legs have length '24' and 'X' are the legs. The hypotenuse is 26. See Picture

Substitute values into the formula (remember 'c' is the hypotenuse)

$ \red A^2+ B^2= C^2 \\ \red x^2 + 24^2= {26}^2 $

Solve for the unknown