.

Correspondingly, what are the 5 most common Pythagorean triples?

are 5, 13, 17, 29, 37, 41, 53, 61, 73, 89, 97, 101, 109, 113, 137, (OEIS A002144), so the smallest side lengths which are the hypotenuses of 1, 2, 4, 8, 16, primitive right triangles are 5, 65, 1105, 32045, 1185665, 48612265,

how do you find Pythagorean triples of odd numbers? Pick any odd number, square the odd number. Now divide that squared number by two. Add 1/2 to the result, and subtract 1/2 you have a Pythagorean triple. Example: 11 => 11^2 = 121 => 121/2 = 60.5 => 60.5 + 1/2 = 61, 60.5 - 1/2 = 60.

Keeping this in view, how can you tell if three positive numbers form a Pythagorean triple?

Answer: If the sum of the squares of two positive numbers is equal to the square of the third number then the numbers form a Pythagorean triple.

What is the 3 4 5 Triangle rule?

The 3:4:5 triangle is the best way I know to determine with absolutely certainty that an angle is 90 degrees. This rule says that if one side of a triangle measures 3 and the adjacent side measures 4, then the diagonal between those two points must measure 5 in order for it to be a right triangle.