Pythaogras's Theorem and Dissection
This theorem can be a huge source of fascination and fruitful activity as well as being a fundamental result. This image plays a on the numerous ways there are to demonstrate how the square of the hypotenuse is equal to the sum of the squares of the other two sides.
If you have come across Pythagoras's theorem then you might instantly recognise that you are looking at something about it here. Still there are a few connections to make about just exactly what you are seeing. Which 'squares' are related to each other and how? What significance do the colours have? Which side lengths appear to be the same? and ultimately, how is this demonstrating the equivalence for us.
There clearly endless ways to play with Pythagoras's theorem. Perhaps this could be printed, cut up and reconstructed? perhaps you light focus on one of the dissections and try to prove why it works. I have always enjoyed playing with these offset squares Either way, there is lots to enjoy about this image.