Pythagoras and his theorem

Pythagoras was a Greek mathematician of the 6th century BC, born on the island of Samos, who founded a school in Croton in southern Italy. Theorem: the square of the hypotenuse of a right triangle equals the sum of the squares of its legs, that is c² = a² + b². This says that the area of the square built on the hypotenuse equals the sum of the areas of the squares built on the legs. The theorem lets us find the third side of a right triangle when any two sides are known. Positive whole numbers a, b, c that satisfy the equation are called a Pythagorean triple, for example 3, 4, 5 and 5, 12, 13. Multiplying a triple by a whole number gives another triple: 6, 8, 10 comes from 3, 4, 5.