The Pythagorean Theorem By Joel Zari. Step 1 First we start with two squares with sides a and b, respectively, placed side by side. The total area of.

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Presentation transcript:

The Pythagorean Theorem By Joel Zari

Step 1 First we start with two squares with sides a and b, respectively, placed side by side. The total area of the two squares is a 2 +b 2.

Step 2 Although we did not begin with 2 triangles, we then draw them in, both with sides a and b and hypotenuse c. Although we did not begin with 2 triangles, we then draw them in, both with sides a and b and hypotenuse c. Now the bar connecting the shapes is gone and we are left with a weird looking shape. Now the bar connecting the shapes is gone and we are left with a weird looking shape.

Final Step Lastly, we rotate the triangles 90 degrees, each around its top vertex. Lastly, we rotate the triangles 90 degrees, each around its top vertex. It ends up that the right triangle rotates clockwise, while the left one rotates counterclockwise. It ends up that the right triangle rotates clockwise, while the left one rotates counterclockwise. The resulting shape that we are left with is a square with side c and area c 2. The resulting shape that we are left with is a square with side c and area c 2.

The End(izzle) Special Thanks to: Special Thanks to: Father Chris Father Chris Sources Sources