expose-the-light: 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.

expose-the-light:

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.

  1. Date Posted Icon 25th April 2012
  2. Reblogged Icon Reblogged From papercogs
  3. Notes Icon Notes: 86
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    Proof by rearrangement of four identical right triangles The animation consists of a large square, side a + b,...
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    Geometric proof of Pythagoras Theorem.
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