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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.
  1. If the right triangle has legs a and b and hypotenuse c, what have you just demonstrated?