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…
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…
present everywhere whether it be cooking, shopping, creating, caring for others or etc. According to the history, counting supposedly started right after the development of language. Egyptians had used Egyptian system around 3000-1600 BC which they wrote 10 as ^ and 13 as III^. This system was adapted by the Romans in their roman numerals. Egyptians also has the Rhind papyrus containing math related brainteasers for instance. “What is the size of the heap if the heap and one seventh of the heap…
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…
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…
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…
Buried Treasure Ashford University MAT 221 Buried Treasure For this week’s Assignment we are given a word problem involving buried treasure and the use of the Pythagorean Theorem. We will use many different ways to attempt to factor down the three quadratic expressions which is in this problem. The problem is as, ““Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of…
Using his continuing understanding of the world around him, he was able to create music by breaking up a vibrating string and create cords. Bronoweski states that “to the Pythagoreans that discovery had a mystic force” (156). It is important to understand the “mystic force” as the spiritual understanding of the world around him. The religious and spiritual influence on Pythagoras’s work is evident when Bronoweski states that when the mathematician proved his theory, he sacrifices one hundred…