The Pythagorean Theorem can be formulated as follows: **in a right triangle, the** square **of the hypotenuse is equal to the sum of the squares of the legs**.

In the right triangle shown in the image below, we use the first letters of the alphabet to indicate its sides:

**$a$**** and** **$b$**** are the legs.**

**$c$**** is the hypotenuse.**

Using these, we can express the Pythagorean theorem in an **algebraic form** as follows:

$c²=a²+b²$

We can express the Pythagorean Theorem in a **geometric form** in the following way, showing that the area of the square (**$c$**) (**square of the hypotenuse**) is the sum of the areas of the squares (**$a$**) and (**$b$**) (**squares of the legs**).