How do you prove pythagorean theorom?

Answer 1

The law of cosines states that in any triangle, c2 = a2 + b2 - 2abcosy, where c is the hypotenuse, a and b are the legs, and y is the angle opposite c, the hypotenuse. Since in a right triangle, this is always 90 degrees, the cosine of y will always be 0. since 2ab(0) is 0, we get the formula a2 + b2 = c2, the Pythagorean Theorem.