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Is there a rule that helps you figure out how many odd numbers can make up a Pythagorean triple?
Yes. The square of an odd number is odd. So, if a, b and c are odd then a2, b2 and c2 are also all odd. But the sum of two odd numbers must be even. So for these to be Pythagorean, all three squares cannot be odd. Thus there are no odd triplets.
Is 2 6 8 pythagorean theorem triples?
A "Pythagorean triple" is a set of 3 numbers that fits the Pythagorean Theorem.So your question is: "Do 2, 6, and 8 form a Pythagorean triple ?", and the answeris either 'yes' or 'no'.(2)2 = 4(6)2 = 364 + 36 = 40(8)2 = 6440 is not equal to 64.So the answer is "no".
Can 12 16 and 18 be a Pythagorean triple?
No. 122 + 162 = 400 = 202 so 12, 16, 20 would be a Pythagorean triple, but 12, 16, 18 would not.
Can you use the Pythagorean system for any word?
Yes, I have used the Pythagorean system for numerous phrases and words and they all wind up equaling a number between 1 and 9. So go for it.
How do six eight and ten form a Pythagorean triple?
6, 8, and 10 is simply a scaled up version of a 3,4,5 triangle (simply double each side). Since 3,4,5 is a Pythagorean triple, so is the scaled up triangle. Alternatively, since 6, 8, and 10 are integers (whole numbers) that fulfill the Pythagorean theorem (62 + 82 = 102 ), they are a Pythagorean triple.
What is a pythagorean triple?
A Pythagorean triple is three positive integers a, b, and c, such that a^2 + b^2 = c^2. A well known Pythagorean triplet is (3,4,5). If (a, b, c) is a Pythagorean triplet, then so is (ka, kb, kc) for any positive integer k.
Is there a rule that helps you figure out how many odd numbers can make up a Pythagorean triple?
Yes. The square of an odd number is odd. So, if a, b and c are odd then a2, b2 and c2 are also all odd. But the sum of two odd numbers must be even. So for these to be Pythagorean, all three squares cannot be odd. Thus there are no odd triplets.
Converse of Pythagorean Theorem?
The Pythagorean Theorem allows the mathematician to determine the value of the hypotenuse. The converse of the Pythagorean Theorem manipulates the formula so that the mathematician can use the values to determine that if the triangle is a right triangle.
What is the triad in The Three Little Pigs?
In "The Three Little Pigs," the triad consists of the three pigs who build different types of houses - one of straw, one of sticks, and one of bricks. They are confronted by the big bad wolf who tries to blow down their houses.
Which diatonic triad is diminished in major keys?
In a major key, the triad built on the 7th scale degree is diminished. Using C major as an example, the triad on the 7th is B D F. B to D is a minor 3rd, as is D to F, so B to F is a diminished 5th.
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.
How can you tell if three positive numbers form a Pythagorean triple?
The Pythagorean thereom is a^2+b^2=c^2. So, you can tell if they are a Pythagorean triple by seeing if the two smaller numbers squared equal the largest number squared. Example. Are 3,4, and 5 a Pythagorean triple? 3^2= 9. 4^2= 16. 5^2= 25. 9+16=25, so they are a triple.
Is 2 6 8 pythagorean theorem triples?
A "Pythagorean triple" is a set of 3 numbers that fits the Pythagorean Theorem.So your question is: "Do 2, 6, and 8 form a Pythagorean triple ?", and the answeris either 'yes' or 'no'.(2)2 = 4(6)2 = 364 + 36 = 40(8)2 = 6440 is not equal to 64.So the answer is "no".
Can 12 16 and 18 be a Pythagorean triple?
No. 122 + 162 = 400 = 202 so 12, 16, 20 would be a Pythagorean triple, but 12, 16, 18 would not.
What is a fifth down from f piano?
Bb. It is really easy to find which note is a fifth down by playing the major triad with the top not as F. That triad is Bb, D, F, so Bb is a fifth below F.
Is 24 32 40 a pythagorean triple?
The easy answer: Yes. To go in depth, the pythagorean theorem is a^2+b^2=c^2. C is always the longest side, or hypotenuse, so you would replace c with 40. A and B can be in any order, so let's replace a with 24 and b with 32. A Squared=24 Squared=576 B Squared=32 Squared=1024 C Squared=40 Squared=1600 Now to test it: 576+1024=1600 1600=1600 So yes, it is a pythagorean triple. * * * * * There is a simpler method. 3-4-5 is a well known Pythagorean triple. Therefore, any multiple of the triple is also a Pythagorean triple. 24-32-40 are 8 times the corresponding numbers and so they form a Pythagorean triple.
Can you use the Pythagorean system for any word?
Yes, I have used the Pythagorean system for numerous phrases and words and they all wind up equaling a number between 1 and 9. So go for it.
