# Pythagorean Theorm

## All the steps to work out the Pythagorean Theorm.

Step 1: Make sure that your triangle is a right triangle, Because The Pythagorean Theorem is only possible to right triangles, so, before continuing , it's important to make sure your triangle is a right triangle.

Step 2 : Label your sides, of the right triangle. (a,b,c)

Step 3 : Determine which side(s) of the triangle you are solving for.

Step 4 Plug your two known values into the equation. Insert your values for the lengths of the sides of your triangle into the equation a2 + b2 = c2

In our example, we know the length of one side and the hypotenuse (3 & 5), so we would write our equation as 3² + b² = 5²

Step 5 :solve for the squares. To solve your equation, start by taking the square of each of your obvious sides. If you find it easier, you could leave your side lengths in the exponent form, then square them later ( In our example, we would square 3 and 5 to get 9 and 25, so 9 + b² = 25.

Step 6 : Now you have to take the square root of the solved equation, so you have to take the square root of 25, and get 5