Pythagoras was a Greek living in the sixth century BC. He was a mathematician and scientist who are now best remembered for Pythagoras’ Theorem, a formula for calculating the length of one side of a right-angled triangle if the other sides are known. However, this theorem was, in fact, already known hundreds of years earlier by Egyptian and Babylonian mathematicians.
Pythagoras was a Greek philosopher who was born in Samos in the sixth century B.C. he was a great mathematician who explained everything with the help of numbers. He gave the Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the lengths of legs of any right angled triangle is equal to the square of the length of its hypotenuse. The hypotenuse is known to be the longest side and is always equal opposite to the right angle.
The theorem can be written as an equation where lengths of the sides can be a, b and c. The Pythagorean equation is a2 + b2 = c2 where c is the length of the hypotenuse and a, b are lengths of the two sides of the triangle. The Pythagorean equation simplifies the relation of the sides of the right triangle to each other in such a way that if the length of any of the two sides of the right triangle is known, then the third side can be easily found.
To generalise this theorem, there is the law of cosines which helps in calculation of the length of any of the sides of the triangle when the other two lengths for the two sides are given along with the angle between them. When the angle between the other sides turns out to be a right angle, then the law of the cosines becomes the Pythagorean Theorem. The converse of this theorem is also true. It is that for any triangle with sides a, b and c, if a2 + b2 = c2, then the angle between the two sides a and b would turn out to be 900.
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