By manipulating the side lengths of the right triangle in the center, you will observe how the squares are related to each other.

1. In right triangle ABC, AB = 4, BC = 3, and AC = 5. Click on "Show/hide squares" to see the squares created using the sides of the triangle. Record the areas of the squares on each side of the right triangle.[br]2. Manipulate the triangle so that AB = 8 and BC = 6. Is the triangle still a right triangle? Record the areas of the squares.[br]3. Manipulate the triangle so that AB = 5 and BC = 12. Is the triangle still a right triangle? Record the areas of the squares.[br]4. Manipulate the triangle so that AB and BC are different values other than those given previously. Make sure the triangle is still a right triangle. Record the side lengths and the areas of the squares.