The figure above is a right triangle with vertices A, B, and C. Using its sides, three squares are constructed as shown . Use the slider to determine the lengths of AB and BC and other tools that you have learned to construct the figure. Use the regular polygon tool to draw the squares and show the Algebra view so you can observe their areas.

1. Is it possible to construct the figure by drawing the square first? if yes, how?[br]2. Move the sliders. What do you observe about the areas of the squares?[br]3. What Mathematical theorem does the relationship of the areas of the squares illustrate?