P.1 Why does it work?

Pythagorean Theorem

Kaden and Maddie need to figure out when the Pythagorean Theorem works. Kaden uses side lengths from an obtuse triangle. Maddie uses lengths from a right triangle.


Kaden's "Obtuse Triangle" Method
I have an obtuse triangle with side lengths 3, 4, and 6.
I draw a square with each side the same length as the triangle's side. I count how many little squares it takes to fill each big square.
 
The Pythagorean Theorem didn't work with this triangle.
32 + 4262