The Pythagorean Theorem is given as [math]c^2=a^2+b^2[/math] where [math]c[/math] is the length of the hypotenuse of a right triangle and [math]a[/math] and [math]b[/math] are the lengths of the legs. *Click Show Side Lengths*. We can think of [math]c^2[/math] as the area of the square created from that side. The same goes for [math]a[/math] and [math]b[/math]. *Click Show Squares*. The Pythagorean Theorem states that if we add the areas of the leg squares it will always equal the area of the hypotenuse square. *Click Show Calculations*. Move the A and B vertices to change the triangle and verify that [math]a^2+b^2[/math] is always equal to [math]c^2[/math].