Directions: Answer each question and show your work or explain your reasoning for full credit. Use the figures to answer the questions. 1. What is the area of each right triangle in Square I? 2. What is the length of each side of the inner square in Square I? 3. What is the area of the inner square in Square I? Square I 1. What is the total area of Square !? 12 5. What is the sum of the areas of the four right triangles plus the area of the inner square? 16 6. What is the area of the smaller square in Square II? 12 7. What is the area of the larger inside square in Square II? Square II 8. What is the area of each rectangle in Square II? hs 9. What is the sum of the areas of the squares plus the areas of the rectangles? 10 How does the area of Square I compare to the area of Square II? A Geometric Proof of the Pythagorean Theorem 11. To find the area of the white square, you can find the area of the big square and subtract the areas of the right triangles. Area of big square - (a + b)? Area of 4 triangles - 4[ ab) Area of white square - big square - 4 shaded triangles Use these areas to write an equation for the area of the white square. Simplify the equation if possible