Pythagorean Theorem Visual Proof

The right triangle below has sides a and b and hypotenuse c.
1.) Move slider α to the extreme right. a.) What can you say about the area of the four triangles? b.) After moving the slider, what quadrilateral is formed by the four triangles and the red square? c.) What is the area of the quadrilateral in question 1b? 2.) Move slider p to the extreme right to form a new figure. a.) What is the relationship between the area of the quadrilateral in question 1 and the area of the new figure? b.) Make an equation in terms of a, b, and c describing the relationship between the two areas.