Pythagore-an Theorem


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1- Pythagorean Theorem

The Pythagorean (or Pythagoras') Theorem is the statement that the sum of (the areas of) the two small squares equals (the area of) the big one.

In algebraic terms, a² + b² = c² where c is the hypotenuse while a and b are the legs of the triangle.

2- How was the Theorem discovered ?

  1. The statement of the Theorem was discovered on a Babylonian tablet circa 1900-1600 B.C. (Whether Pythagoras or someone else from his School was the first to discover its proof can't be claimed).The Theorem is reversible which means that its converse is also true. The converse states that a triangle whose sides satisfy a² + b² = c² is necessarily right angled. Euclid was the first to mention and prove this fact.

Photos of Pythagoras

Real Life Situations

2. There are many uses of the theorem. One of these uses is in real life situations for example going on a Road trip you want to get there taking the shortest path possible you can use the theorem another example Painting on a Wall The painter needs to determine how tall a ladder needs to be in order to safely place the base away from the wall so it won't tip over. This is another way to use the theorem.

More Examples:

3- Converse of the Pythagorean Theorem

If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

More Examples:

This is a short video summarizing our lesson

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