Cut out the puzzle pieces. Examine a triangular piece and the three square pieces.
How do the side lengths of the squares compare to side lengths of the triangle?
Arrange the 11 puzzle pieces to fit exactly into the two puzzle frames. Use four triangles in each frame.
Carefully study the arrangements in the two frames. What conclusion can you draw about the relationship among the areas of the three square puzzle pieces?
What does the conclusion you reached in part C mean in terms of the side lengths of the triangles?