This is just one of the Figures, I will send you a picture of the whole entire question.

The combined area of the shaded triangles in figure 1 is equal to the combined area of the shaded triangles in figure 2. The area of the unshaded square in figure 1 can be represented by
[tex]c^2[/tex]The combined area of the two unshaded squares in Figure 2 can be represented by
[tex]a^2+b^2[/tex]The areas of the equares in figure 1 and figure 2 show that
[tex]a^2+b^2=c^2[/tex]