The following question, known as the Boolean Pythagorean Triples problem, is a typical example of Ramsey Theory, and was asked by Ronald Graham in the 1980s and desribed below. Now let's perform real ...

#~ A Pythagorean triplet is a set of three natural numbers, a b c, for which, #~ a2 + b2 = c2 #~ For example, 32 + 42 = 9 + 16 = 25 = 52. #~ There exists exactly one Pythagorean triplet for which a + ...

Do some research online to find other ways to prove the Pythagorean Theorem. Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to ...

Si.427 contains three Pythagorean triples: 3, 4, 5; 8, 15, 17; and 5, 12, 13. The Babylonians used a base 60 number system – similar to how we keep time today – which made working with prime ...