0
Pythagoras
Pythagoras was a Greek philosopher, mathematician and founder of Pythagoreanism religious movement. He was known for the Pythagorean Theorem and made influential contributions in the field of mathematics and natural philosophy.
1,004 Questions
How did Eratosthenes know the Earth was round?
Eratosthenes' method requires that one know or determine the vertical angle of the sun above the horizon or from the zenith (a point directly overhead) at solar noon at two locations along the same line of longitude. The distance between the two locations must also be known.
What factors have contributed to the success of basketball as a sport?
* Inner city kids growing up in poorer neighborhoods (same reason that Brazil soccer is excellent). It's easier for these kids to put up a basket and toss around the ball rather than more team oriented sports that require many participants and much more room to play their sports (i.e. Baseball and Football)
* For many kids this is their ticket out of the ghetto and they will play basketball through most of the night
* Television dollars continue to act as a catalyst for the sport
* Global adoption of the sport also contributes to the continued growth
* Longevity of these excellent athletes is greater than most sports (assuming they make it to the professional level)
* For audiences they get to watch incredible athletes in action for a much more concentrated period of time. In other words the games are action packed and only take a fraction of the time to play.
How do you use the Pythagorean theorem today?
Pythagoras' theorem states that for any right angle triangle that its hypotenuse when squared is equal to the sum of its squared sides.
Where did Fermat write his last theorem?
He didn't write it. What he did was to write in the margin of a book that he had a proof but there was not enough space to write it there.
What are Pythagoras' metaphisical views?
Pythagoras was an ancient Greek philosopher. However, he had little to do with metaphysical views unlike Philolaus since he was more involved with creating a code/way of living good life.
What does Pythagoras' theorem involve?
Pythagoras' theorem is basically a method to find a missing length of a triangle. So you have side A, B and c. Side c is opposite the right angle in the triangle (right angled triangle) If you square A and B and add them together you will get a number. You then square route that number and that will be the length of side C. As it is opposite the right angle it will be the longest side. If you want to find one of the shorter sides for example A you square C and take B away from it. You then square route this number. If you have a scientific calculator there will be a square and square route symbol. The square symbol is a little two and the square route one is like a tick but the top goes across into a line, if that makes sense. Hope this has helped.
How did pythagoras's discovery impact the ancient times?
people could now do geometry a lot easier, faster, and it made a lot more sense.
5" by 10" by 15" cannot be a right angled triangle because the square of the hypotenuse (longest side) must be equal to the sum of the squares of the other two sides.
Proof:
152 = 225
52 + 102 = 25 + 100 = 125
225 is not equal to 125 so the triangle is not a right angled triangle.
All the others are right-angled triangles:
92 + 122 = 152 [81 + 144 = 225]
42 + 7.52 = 8.52 [16 + 56.25 = 72.25]
1.52 + 22 = 2.52 [2.25 + 4 = 6.25]
Answer
9ft, 12ft, 15ft
9² + 12² = 81 + 144
= 225
= 15²
Which agrees with Pythagoras' Theorem, so this is a right-angled triangle.
4cm, 7.5cm, 8.5cm
4² + 7.5² = 16 + 56.25
= 72.25
= 8.5²
Which agrees with Pythagoras' Theorem, so this is a right-angled triangle.
5in, 10in, 15in
This one doesn't obey the triangle inequality, so it isn't a triangle at all. Anything that isn't a triangle isn't a right-angled triangle, and therefore we don't need to check it against Pythagoras' Theorem. But just to be thorough:
5² + 10² = 25 + 100
= 125
15² = 225
≠ 125
Which disagrees with Pythagoras' Theorem, so this is not a right-angled triangle.
1.5m, 2m, 2.5m
1.5² + 2² = 2.25 + 4
= 6.25
= 2.5²
Which agrees with Pythagoras' Theorem, so this is a right-angled triangle.
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.
================================
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.
How is the Refrigeration design calculation for cold storage give brief description by a website?
Dear Sir Kindly suggest which book i have to refer for cold storage design or could supply some calculation guide book for the same mkjain 09910484067 i think u can refer to refrigeration and air conditioning by wilbert f.stoeker
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
