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# An Analysis of Pythagorean Theorem

Pythagorean Therm Pythagorean theory The Pythagorean Theorem is a geometrical expression used often in math and physics It used too two-two finds the unknown side of a right triangle The exponential forms 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 Bs are the legs of the triangle Since we know sides A 5 inches and B 3 inches we may fill that into two or equation for step one 1 5 3 cs What the theorem will help us find is the c side of this triangle 2 25 9 cs All we do is distribute five to the second power and three 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 an 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 40th 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 use 3

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