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The Pythagorean Theorem Directions: On the following...

The Pythagorean Theorem

Directions:

On the following page you will find 2 frames and 11 puzzle pieces. Your task is to fit the pieces into the 2 frames to create 2 equal areas. You should be able to drag and rotate the pieces. If not then you can print out the pieces and cut them up. Answer the following questions.

Questions:

1) What, if any, relationship exists between the sides of the pieces?

2) In terms of a, b and c – find the area of each shape.

3) Fit the pieces together into the frames. If you cannot manipulate the shapes on the document then describe in detail how the pieces fit together.

4) What are the dimensions of each frame?

5) What is the area of each frame?

6) How does this prove the Pythagorean theorem?

We are provided three squares (small, medium, and large)

eight right triangles

and two frames if equal size to fit them in.

I can fit the pieces in but I want to know how to answer the other questions

Directions:

On the following page you will find 2 frames and 11 puzzle pieces. Your task is to fit the pieces into the 2 frames to create 2 equal areas. You should be able to drag and rotate the pieces. If not then you can print out the pieces and cut them up. Answer the following questions.

Questions:

1) What, if any, relationship exists between the sides of the pieces?

2) In terms of a, b and c – find the area of each shape.

3) Fit the pieces together into the frames. If you cannot manipulate the shapes on the document then describe in detail how the pieces fit together.

4) What are the dimensions of each frame?

5) What is the area of each frame?

6) How does this prove the Pythagorean theorem?

We are provided three squares (small, medium, and large)

eight right triangles

and two frames if equal size to fit them in.

I can fit the pieces in but I want to know how to answer the other questions

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