Ptythagoras' theorem states that for any right angle triangle its hypotenuse when squared is equal to the sum of its base squared plus its height squared.
The formula: a2+b2 = c2 where a and b are the base and height respectively and c being the hypotenuse
Why is it still called Pythagoras theorem when it has been proven and is no longer a theory?
Answer #1:
The reason is that when the sides of a right angle triangle are equal it is impossible to find the exact value of its hypotenuse by using Pythagoras' theorem because it will always be an irrational number which is infinite. So therefore it remains a theorem because it has not been 100% proven.
It is for the same reason that the area of a circle which is pi*radius2 is only theoretical because the exact value of pi has never been determined which is also an irrational number.
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Answer #2:
The question rests on an invalid equivocation. "Theorem" and "theory" are NOT the same thing.
A theory is a set of ideas presented in an attempt to explain something that's
observed.
A theorem is a statement derived logically from other, previously accepted statements.
Pythagoras took what was already known in Geometry, and massaged and manipulated
it to show that IF those previous statements are correct, THEN C2 = A2 + B2.
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There's no such commonly recognised thing as 'indirect proportion'. If you mean Inverse Proportion, this is when one quantity decreases as another increases by the same factor.
As an example, the time it takes to run 100 m is inversely proportional to the speed you run at - if you double your speed, it takes you half as long.
Many maths problems run along the lines of "If it takes three men four days to build a wall, how long will it take five men to build the same wall?". This is inverse proportion. As you increase the number of men by a factor of 5/3, you decrease the time taken by a factor of 5/3, so the answer here is 2.4 days.
I hope that helps!
The philosopher who discovered the numerical relationship of musical harmonies was?
Pythagoras of Samos discovered the numerical relationship of musical harmonies.
Is the Pythagorean theorem really Pythagoras'?
No because the theorem was well known in ancient civilizations.
How do you calculate the length of s hypotenuse using Pythagoras theorem?
In a right triangle, square the lengths of the other two sides and add them together. The length of the hypotenuse will be the positive square root of that number.
What are the aspects of pythagores theorem?
Pythagoras invented the Pythagorean Theorem of course, but it only can work for right triangles, not any other triangle. The formula is- A2+B2=C2
What is the purpose of Pythagoras theorem model?
The purpose is so that on any right triangle, you can figure out how long the length of one of the sides are by multiplying each other side by themselves, adding them together, and then finding the square root of that number.
What does the pythagorean theorem tell you?
In a right angle triangle the square of the hypotenuse is equal to height squared plus base squared
right triangle
What is the history of Pythagoras theorem?
The History of Pythagoras and his Theorem In this section you will learn about the life of Pythagoras and how it is that the theorem is known as the Pythagorean Theorem. Be aware that there are no good records about the life of Pythagoras, so the exact dates and other issues are not known with certainty. In addition, the names of some of the people as well as the places where Pythagoras lived may have different spellings. Pythagoras was born in the island of Samos in ancient Greece1. There is no certainty regarding the exact year when he was born, but it is believed that it was around 570 BC That is about 2,570 years ago! Those were times when a person believed in superstitions and had strong beliefs in gods, spirits, and the mysterious. Religious cults were very popular in those times.
Pythagoras of Samos Pythagoras' father's name was Mnesarchus and may have been a Phoenician. His mother's name was Pythais. Mnesarchus made sure that his son would get the best possible education. His first teacher was Pherecydes, and Pythagoras stayed in touch with him until Pherecydes' death. When Pythagoras was about 18 years old he went to the island of Lesbos where he worked and learned from Anaximander, an astronomer and philosopher, and Thales of Miletus, a very wise philosopher and mathematician. Thales had visited Egypt and recommended that Pythagoras go to Egypt. Pythagoras arrived in Egypt around 547 BC when he was 23 years old. He stayed in Egypt for 21 years learning a variety of things including geometry from Egyptian priests . It was probably in Egypt where he learned the theorem that is now called by his name. By the time he was about 55 years old he returned to his native land and started a school on the island of Samos. However, because of the lack of students he decided to move to Croton in the south of Italy. In Croton he started a school which concentrated in the teaching and learning of Mathematics, Music, Philosophy, and Astronomy and their relationship with Religion. It is said that as many as 600 of the worthiest people in the city attended the school, including Theana whom he married when he was 60. The school reached its highest splendor around the year 490 BC. He taught the young to respect their elders and to develop their mind through learning. He emphasized justice based on equality. Calmness and gentleness were principles encouraged at the school. Pythagoreans became known for their close friendships and devotion to each other. More than anyone before him Pythagoras combined the spiritual teachings with the pursuit of knowledge and science. Pythagoras also headed a cult known as the secret brotherhood that worshiped numbers and numerical relationships. They attempted to find mathematical explanations for music, the gods, the cosmos, etc. Pythagoras believed that all relations could be reduced to number relations. At some point Pythagoras was exiled from Croton and had to move to Tarentum. After 16 years he had to move again, this time to Metapontus where he lived four years before he died at the age of 99. Here we have a picture of a statue of Phytagoras in the island of Samos. If you click on the figure you'll be able to see a larger picture. On the bottom of the statue the text is "". The literal translation is "Pythagoras the Samosan", but the preferred translation is "Pythagoras of Samos".
What did Pythagoras do in his life time?
he made the theorem
C squared = A squared + B squared
and
A squared = C squared - B squared
or
B squared = C squared - A squared
Where to use Pythagoras property?
We use Pythagoras property to find the length of the third side, when two sides of a right-angled triangle are given by the following formula: In a right triangle, Square of hypotenuse = sum of squares of other two sides.
What are three mathematical discoveries Pythagoras made?
pytagoras made one that i know of and that is the pythagorean therom
How did Pythagoras become so famous?
Because Pythagoras was the first person to prove the pythagorean theorem correct and his philosophy influence all other philosophers after his death, incluing Plato and Aristotle. His Pythagorean School gained influence and respect during the years around 520 BC in Italy. His Society was spread all throughout Europe and Asia.
What did Pythagoras do for a living?
It depends on if you think teaching is a job.
If you do, then his job was teaching. Although he wasn't a teacher like teachers today, he created and taught at his school, Crotone, in Italy. He also had his special circle of privileged students who were sworn to secrecy and he reveled to them his "Pythagorean Theorem".
If you don't, then he did not have a job. He did not get paid to teach students, so he did not have a regular income of money, but in his situation, he didn't need money, for his students would get him whatever he would need ,like food.
I, personally, think that he did have a job, it was just not the usual type. But it changes based on how you look at what Pythagoras did.
What books did Pythagoras write?
Nobody knows how many books were written by Pythagoras. All of his writings were believed to have been destroyed. Some such as Aristotle and Aristoxenus believed he never wrote anything.
What were the major accomplishments of Pythagoras?
Pythagoras is known or the... "Pythagorean theorem" or that.. The sum of the angles of a triangle is equal to two right angles The Pythagorean theorem Constructing figures of area Discovery of irrationals Five regular solids Earth is a sphere at the center of the universe (astronomy) Pythagoras Theorem The hypotenuse of a right triangle when squared is equal to the sum of the squares of the other two sides.
Who invented Pythagoras Theorem?
It is believed that the Pythagoras Theorem was invented by a greek named Pythagoras. The Theorem is said to be invented in 530 B.C . Researchers are of a view that the theorem must have been invented aeven before that. Pythagoras lived from 569 to 500 BC. Since the theorem is named after him, we believe to this day that he could be the inventor of it. He spent his time travelling to Egypt and learnt about mathematics much. The rudiments of the theory can also be found in a portion of a tablet from Babylonia dating to 1900 B.C.E., which is about 4,000 years old to date. So it is still a doubt to actually know whether he was the founder of it.
Hope this helps.