Pythagorean Proof By Matt Smith Block F Step 1 The goal is to be able to fit the blue boxes ( a and b) into the yellow box (c). If this can be done the.

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Presentation transcript:

Pythagorean Proof By Matt Smith Block F

Step 1 The goal is to be able to fit the blue boxes ( a and b) into the yellow box (c). If this can be done the Pythagorean Theorem is true. It will be true because the Pythagorean theorem states that A squared plus B squared = C squared. Box A is side A of the triangle squared, box B is side B of the triangle squared, and box C is side C of the triangle squared.

Step 2 Next we start to shi Next we slowly start to shift boxes a and b towards the top corner of the shape. The blue has not changed area.

Step 3 The blue boxes have now met. The vertical lines on each side are equal to length C because it has made 3 copies of the yellow triangle.( One on the right, left and top). The blue boxes have still not changed area.

Step 4 Now we have simply slid down the blue boxes and replaced them with yellow one.The blue boxes remain the same area.

Step 5 We have successfully fit the blue boxes into the yellow box proving the theorem true.

Credits Producer: Matt Smith Director: Matt Smith Chief Artist: Matt Smith Special Thanks To: