Explain the Pythagorean Theorem, its proofs and. This is the same thing as adding something to both sides of an equation, . If you have two equations that discuss the same variables, you can add them together. The two short sides length of the triangle and the hypotenuse are denoted by the letters … Pythagorean theorem proof using similarity - Khan Academy. This relationship is shown by use of an equation which is shown below. This theorem is also called the theorem of Pythagorean where the squares of the shorter lengths of the triangle when summed is equal to the squared hypotenuse (Weisstein, 2006).

This proof is based on the proportionality of the sides of two similar triangles, that is, the ratio of any corresponding sides of similar triangles is the same . Geometry: Pythagorean Theorem - Online Math Learning.

But most proofs offer a mechanical understanding: re-arrange the shapes, and voila, . We can all agree the Pythagorean Theorem is true (here's 75 proofs). Surprising Uses of the Pythagorean Theorem - BetterExplained. The theorem is invaluable when computing distances between two points, such as in navigation and land surveying. The Pythagorean theorem has far-reaching ramifications in other fields (such as the arts), as well as practical applications. Pythagorean theorem proofs and applications Pythagorean Theorem, Its proofs and applications.docx.

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