How do you make a maths model on Pythagoras Theorem?

Very simple! You need a square piece of cardboard. (make sure it is a perfect square)

And also make four small triangles and one square that fit within the large square.

I have put a link to a picture of what you have to make in the sources box. Label the sides of the peices as I have in the diagram. Sorry the drawings so wonky.

The diagram shows a square of side length c inside another square of side length a + b.

The area of the large square can be written as (a + b)^2 or c^2 + 2ab (the area of the small square plus the four triangles).

There for (a+b)^2= c^2+2ab

expand a^2+2ab+b^2=c^2+2ab

Subtract 2ab from both sides and you have a^2 + b^2 = c^2

The model then proves pythagoras's theorem.

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