Pythagorean Theorem The Pythagorean Theorem also known as Pythagoras’s theorem is a relation in Euclidean geometry that are the tree sides of a right triangle. It’s the sum of the areas of the two squares on the legs equals the area of the square on the hypotenuse. The equation use for it is A squared plus B squared equals C squared.The Theorem relates the lengths of the three sides of any right triangle. The theorem is named after the ancient Greek. There is evidence that indicates that Pythagorean Theorem was well- known to the mathematicians of the first Babylonian Dynasty (20th to 16th centuries BC) which would have been over a thousand years before Pythagoras was born. People say that Pythagoras discovered the theorem at least fifteen hundred years before Pythagoras was born. But no one really knows when it was founded or discovered. The Pythagorean Theorem was known long before Pythagoras but he might have been the…
Pythagoras was born around 570 BCE near the island of Samos located in Eastern Aegean. Around 530 BCE, he settled near Croton, South Italy. He was considered one of the best mathematicians and scientist. One huge thing that he is known for creating is the Pythagorean Theorem, which is used when determining side c of a right triangle. Some could argue that Pythagoreanism was a cult, based solely on the idea that they used pressure in order to get others to adapt to their ideas. In around 500 BCE,…
Objectives: 1. Students will be able to apply the Pythagorean Theorem to find the length of the unknown side of a right triangle. 2. Students will determine how to use the Pythagorean Theorem to solve mathematical problems 3. Students will be able to evaluate expressions and solve equations with single digit exponents NY State Standards: CCSS.MATH.CONTENT.8.G.B.6 Explain a proof of the Pythagorean Theorem and its converse. CCSS.MATH.CONTENT.8.G.B.7 Apply the Pythagorean Theorem to determine…
credited as the founder of the movement called Pythagorean cult. In this time Pythagoras often was called the first “true” mathematician. But, although his contribution was clearly important, he nevertheless remains a controversial figure. He left no mathematical writings himself, and much of what we know about Pythagorean thought comes to us from the writings of Philolaus and other later Pythagorean scholars. Indeed, it is by no means clear whether many of the theorems ascribed to him were in…
At about twenty centuries ago there was an amazing discovery about right angled triangles: “In a right angled triangle the square of the hypotenuse is equal to the sum of squares of the other two sides.” It is called Pythagoras Theorem and can be written in one short equation: a²+b²=c² where c is the longest side of triangle and a and b are the other two sides. Pythagoras was born in the island of Samos in 570 BC in Greek in the eastern Agean. He was the son of Mnesarchus and his mother's name…
The theorem used to find the hypotenuse, adjacent, or opposite sides of a triangle is also used in Euclidian Geometry. “A” squared plus “B” squared equals “C” squared is the formula used in the theorem. For example, we are given two numbers in the sides of a triangle; if we are given the adjacent and opposite sides, and we must figure out the hypotenuse, we will be required to use the Pythagorean Theorem. The two numbers given are squared, and our third number, we obtain it from the sum of the…
The Greek mathematician and philosopher Pythagoras (c. 580-c. 500 B.C.) is one of the few figures in ancient times, or indeed in any age, who warrants comparison to the extraordinary Imhotep. Although he is best known for his famous geometrical theorem, his accomplishments ranged far beyond mathematics and involved areas as diverse as music, politics, and religion. Like Imhotep, he was a figure larger than life. Some historians suggest that he never really lived; in fact it appears highly likely…
different math and science concepts from different people. For instance, it is believed that he learned geometry from the Egyptians and astronomy from the caladiums. Pythagoras was a very well rounded man that traveled to learn all that he could. He traveled to places like Egypt and Crete to learn math and science concepts, but he a;so went to learn about the origins of their gods, that was a real interest of his. Pythagoras sounds a lot like the Pythagorean theorem, which should be the case…
These things don't exist in math. Math is full of "rules" that don't have exceptions. Things such as the Pythagorean Theorem will always work for right triangles. There will never be a right triangle where a^2 + b^2 does not = c^2. This is what I like about math. Math is a subject that I think would never Let me down ; It has no contradictions. It's something that's reliable and useful. I've learned that without math, life would be a cycle of events without reason. If I ever wonder why when I…
Pythagoras is a greek mathematician and astronomer. He is best known for the Pythagorean theorem but is also known for other math related theories. He founded a group called the Pythagoreans, who also are credited to math related theories. He also has many astronomical theories, some proven and some disproven. Pythagoras was born around 570 BC in Samos, Greece. His dad was a traveling merchant, so his mom had to raise his siblings and him by herself most of the time but Pythagoras did travel…