>>14079256>what about the right side 4ab/2 + c^2It's just adding up the areas of the four triangles and the center area.
So all the equation is saying is that the total area (a+b)^2 is equal to the sum of the areas of all four triangles (1/2a*b) plus the center square (c^2).
>I just connect something and therefore all a's and b's and c's are the same lengthThe point is that you're not connecting "something", you're connecting the exact same triangle to itself.
You can construct a square with side lengths a+b, draws four lines connecting the sides such that each side is divided by the line into sections of a and b, and since the triangles that are formed share two sides and an angle between, they must be equivalent triangles.
