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Mathematics, 22.09.2021 01:40 james8781

Create an outline of proof for the Pythagorean Theorem based on Figures 1 and 2 by ordering the 7 statements given into a logical sequence. The total area of the large square in Figure 2 is c² + 4 (½ab).

Subdivide the large square in Figure 1 into a square with side-length a, another square with side length b and two rectangles with side-lengths of a and b.

The total area of the large square in Figure 1 is a² + b² + ab + ab.

a² + b² + ab + ab = c² + 4 (½ab)

The two large squares have the same area because they are they have the same dimensions.

Start with two large squares with sides of length a + b.

Subdivide the large square in Figure 2 into a four right triangles with legs of a and b and a square with side-length of c.​


Create an outline of proof for the Pythagorean Theorem based on Figures 1 and 2 by ordering the 7 s

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