Quarks to Quasars

Proof by rearrangement of four identical right triangles The animation consists of a large square, side a + b, containing four identical right triangles. The triangles are shown in two arrangements, the first of which leaves a square c2 uncovered, the second of which leaves two squares a2 and b2 uncovered. But as these uncovered areas with the areas of the four triangles fill the large square, the uncovered areas must be equal, so a2 + b2 = c2.

Proof by rearrangement of four identical right triangles

The animation consists of a large square, side a + b, containing four identical right triangles. The triangles are shown in two arrangements, the first of which leaves a square c2 uncovered, the second of which leaves two squares a2 and b2 uncovered. But as these uncovered areas with the areas of the four triangles fill the large square, the uncovered areas must be equal, so a2 + b2 = c2.

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Posted on Thursday, 2 February
Tagged as: Math   Gif   Science  
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    Geometric proof of Pythagoras Theorem.
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