Pythagorean Theorem Investigation
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.
2. Manipulate the triangle so that AB = 8 and BC = 6. Is the triangle still a right triangle? Record the areas of the squares.
3. Manipulate the triangle so that AB = 5 and BC = 12. Is the triangle still a right triangle? Record the areas of the squares.
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.