Explain a proof of the Pythagorean Theorem using the image. The image is the image of four right triangles and a square proof of the Pythagorean Theorem.

In the proof of the Pythagorean Theorem using four right triangles, the triangles are arranged inside a square with side length \( (a+b) \), where \( a \) and \( b \) are the lengths of the legs of the right triangles. The area of the large square is \( (a+b)^2 \), which equals \( a^2 + 2ab + b^2 \). Inside this square, the four triangles collectively occupy an area of \( 2ab \), leaving a central square with area \( c^2 \), where \( c \) is the hypotenuse. Thus, we equate the areas: \( (a+b)^2 - 2ab = c^2 \), leading to \( a^2 + b^2 = c^2 \).