8.8.7.2 A Transformational Proof
Use the applet to explore the relationship between areas. Follow the directions below.
- Consider Squares A and B.
- Check the box to see the area divided into five pieces with a pair of segments.
- Check the box to see the pieces.
- Arrange the five pieces to fit inside Square C.
- Check the box to see the right triangle.
- Arrange the figures so the squares are adjacent to the sides of the triangle.
- If the right triangle has legs a and b and hypotenuse c, what have you just demonstrated?