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# The Life of Pythagoras and the Importance of His Theorem

The Pythagorean Theorem is a geometrical expression used often in math and physics It used to 2 2 2 find the unknown side of a right triangle The exponential form of this theorem a b c That is the equation you use when you are looking for the unknown side of a right triangle and it is what Ill demonstrate on the attached exhibit The upside down capital L in the bottom of the left hand corner indicates that sides A B are the legs of the triangle Since we know side A 5 inches and B 3 inches we may fill that in to 2 2 2 or equation for step one 1 5 3 c What the theorem will help us find is the c side of this triangle 2 25 9 c All we do is distribute 5 to the second power and 3 to the second power as seen is step two Next we add these two numbers together to get 34 25934 in step three 3 25934 Then in step four we find the square root of 34 4 34 In step five we see that 583 is the unknown side of the right triangle 5 c 583 We found this answer by using the Pythagorean Theorem as taught in geometrical form This theorem may also be summed up by saying that the area of the square on the hypotenuse or opposite side of the right angle of a right triangle is equal to sum of the areas of the squared on the legs The Pythagorean Theorem was a studied by many people and groups One of those people being Euclid Sometimes the Pythagorean Theorem is also referred to as the 47th Problem of Euclid It is called this because it is included by Euclid in a book of numbered geometric problems In the problem Euclid studied he would always

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