Unknown Side Of The Pythagorean Triangles

a2+b2=c2 is the famous theorem that Pythagoras discovered and named, calling it the Pythagorean Theorem. This theorem applies to the right triangle stating, that by adding the length of both legs squared you can then find the squared length of the hypotenuse. This theorem is set up in way that if you know two of the variables, whether it is a leg(b or a) and the hypotenuse (c) or both legs (a and b), you will always be able to find the third measurement. However, why does this theorem work? Why does a2+b2=c2? That is the question that is asked hundreds of times by thousands of people. The answer to it is not a complicated one, the reasoning behind that is because there are at least 367 Pythagorean Theorem proofs out there (Source four). They

Being one of the greatest philosophers of his time, Pythagoras created a society of skilled mathematicians who worked together to facilitate mathematics, showed how numbers can be independent, and proved the Pythagorean theorem, making him iconic in mathematics today. His discoveries of simple yet essential methods are prevalent today throughout many mathematical fields in which they are treasured.

born about 560 BC and died at the age of eighty. He was the founder of

Which chapter was the easiest for you? Why? Chapter 7: Right Triangles and Trigonometry was the easiest chapter for me because it made the most sense and it was pretty much just basic things that I could easily do with my graphing calculator. The SOHCAHTOA song really helped me learn what form of Trigonometry I need to use. SOH- Sine opposite hypotenuse, CAH- Cosine adjacent hypotenuse, and TOA- Tangent opposite adjacent. When we got the Law of Sines, Law of Cosines, and Solving Right Triangles it got a little confusing but you help me understand what to do with the Law of Sines and Cosines and how to solve right triangles.

Prior to around 600 B.C. and the arrival of the first depictions of Zeus at Samos around 700 B.C. pomegranate

The date that Spartacus was born is not certain, but we can estimate that he was born somewhere around 109 BCE. His home country was Thrace, which is located in southern Europe around where modern day Turkey and Bulgaria are located. In the eyes of the Greeks and Romans,

Smyrna, also called the Island of Chios around 12th and 8th centuries BC. Legend has it that his

Pythagoras’s approach combined sciences and religion , he also invented the Pythagorean theorem and deductive reasoning (Violatti, Ancient History Encyclopedia). People began to re-approach traditional questions that had previously been answered through religion and superstition. Furthermore, Socrates started a new approach by focusing entirely on moral and psychological questions, rather than questions about the tangible world (Violatti, Ancient History Encyclopedia). A major advance was the discovery of Astrology.

- 46 BC - Pro Rege Deiotaro - On behalf of King Deiotarus before Caesar

Thales came from Miletus, Turkey in 624 B.C.; his father and mother were well known throughout where he lived. There is not much backstory known of Thales so there is not much information to be given. He was mostly seen as a mathematician and astrology; however, his actual career was a successful engineer. He had made many theories that actually

The Greeks made several inventions, most notably in the subject of math, which are still studied today and taught in school. Mathematician Euclid is often credited as the “Father of Geometry” for all his work and studies in this subject, which are compiled in his books called The Elements. He organized known geometrical statements called theorems and logically proved all of them. He proved the theorem of Pythagoras (another Greek mathematician), which stated that the equation (c2 = a2 + b2) is true for every right triangle.

He was tutored by legendary Greek philosopher Aristotle in 343 B.C. which was hired by his father the king Philip II in the Temple of the Nymphs at Meiza. Aristotle taught him philosophy, drama, politics, poetry and science over the course of three years. During the process of learning he developed his dream of becoming a warrior. After one year completed his education at Meiza in 340 B.C he became a soldier.

The son of Aglaos, Eratosthenes was born in 276 BC, in Cyrene. Now part of Eratosthenes was a Greek mathematician, geographer, poet, astronomer, and music theorist. modern-day Libya. Cyrene became a place of cultivation, where knowledge blossomed. Eratosthenes would have studied in the local gymnasium, where he would have learned physical skills and social discourse as well as reading, writing, arithmetic, poetry, and music.[ Eratosthenes went to Athens to further his studies. There he was taught Stoicism by its founder, Zeno of Citium, in philosophical lectures on living a virtuous life. [9] He then studied under Ariston of Chios, who led a more cynical school of philosophy. He also studied under the head of the Platonic Academy, who was Arcesilaus

the formation of early Christendom. Born in Caesarea around 260c.e., he was mentored by Pamphilus,

There are many great philosophers in this world. Some of which are extremely well known and almost everyone knows their names like Socrates, Plato Aristotle Locke and so very many more. Pythagoras is a less known philosopher who had a lot of discoveries while leading a life in a secretive manner. He was an enigma and the leader of a religious sect cult who believed the universe to consist solely of whole numbers and their ratios. Pythagoras said "Do not talk a little on many subjects, but much on a few." Has one ever wondered where did he learn his vast knowledge of mathematics and religious aspects leading to the Pythagorean cult, or what was all of his discoveries besides