Given that the legs of a right triangle measure a and b and the hypotenuse of the triangle measures c, what does the pythagorean theorem state about the sides of this triangle?

The pythagorean theorem allows us to find missing sides, allowing us to discover the relationships between the sides. It is a simple formula, A2 squared plus B squared equals C squared. So, we can plug numbers into that formula to find the missing sides. 

What that relationship tells us is that A and B in a triangle will always equal C, which is the hypotenuse. So, the legs always equal the hypotenuse when added together.