Geometry, as we know it, has roots stemming from Euclid. Today, we refer to it as Euclidean Geometry. We know from the Plimpton 322, a Babylonian clay tablet, that Geometry and Mathematics have been around at least as long as the Babylonians. This tablet is written in a sexagesimal number system. The tablet was discovered by an antiquity's enthusiast Edgar Banks, who later sold it to George Plimpton. “This mathematical tablet was recovered from an unknown place in the Iraq desert. It can be determined, apparently from its style, that it was written originally sometime around 1800 BCE. It is now located at Columbia University. “ (Casselman)
“The ancient Egyptians knew a lot of geometry, but only as applied methods based on testing and experience. For example, to calculate the area of a circle, they made a square whose sides were eight-ninths the length of the circle's diameter. The area of the square was close enough to the area of the circle that they could not detect any difference. Their method implies that pi has a value of 3.16, slightly off its true value of 3.14, but close enough for simple engineering. Most of what we know about ancient Egyptian Mathematics comes from the Rhind Papyrus, discovered in the mid-19th century CE and now kept in the British Museum.
Ancient Babylonians also knew a lot of Applied Mathematics, including the Pythagorean Theorem. Archaeological excavations at Nineveh discovered clay tablets with number triplets satisfying the Pythagorean Theorem, such as 3-4-5 or, 5-12-13, and with considerably larger numbers. In The Elements, Euclid collected, organized, and proved geometric ideas that were already used as applied techniques. Except for Euclid and some of his Greek predecessors such as Thales (624-548 BCE), Hippocrates (470-410 BCE), Theaetetus (417-369 BCE), and Eudoxus (408-355 BCE), hardly anyone had tried to figure out why the ideas were true or if they applied in general. Thales even became a celebrity in Egypt because he could see the mathematical principles behind rules for specific problems, then apply the principles to other problems such as determining the height of the pyramids.” (Palmer, 2015)
In our modern day which includes a plethora of technological devices, one may tend to think we know so much about so many things. Or maybe we simply have access to an electronic world library. Mathematics is no new subject and it is evolving as time marches on. Have you ever wondered how far we have come as humans with mathematics? Of course, it would take a world library to discuss humanity's progress with mathematics. We simply aim to enlighten about the ancient yet relevant mathematical topic of Pythagorean Triples. Your mind probably momentarily reverted to a classroom setting of some type where you learned about the Pythagorean Theorem. We need to dig further into history than Pythagoras(l.c. 571- c. 497 BCE) (Mark, 2020) , to begin our exploration of Pythagorean Triples.