What are three pythagorean triples, write it out and explain?

Question

What are three pythagorean triples, write it out and explain.?
My teacher asked my what are three pythagorean triples and said i had to look it up otherwise ill have to write a 5 page essay on the pythagorean therum

Answer 1

3,4,5
5,12,13
7,24,25
******************
Every odd square number can be fitted to at least one Fermat set.
Let z^2 = 2k+1
then k^2 + z^2 = (k+1)^2
Take 7 for example:
7^2 =49
49 = 2*24 +1
then 24^2 + 7^2 = 25^2
***********************

Answer 2

Pythagorean triples are instruments of three numbers that correspond to the the lengths of the three facets of a suitable triangle. remember that for a suitable triangle with facets of length a,b, and c, the pythagorean theorem should be real so a^2 + b^2 = c^2 (this is a squared plus b squared has to equivalent c squared the place c is the hypotenuse) you're in seek of values of a,b, and c so as that this is real. case in point, a=3, b=4, c=5 works because of the fact: 3^2 + 4^2 = 9 + sixteen =25 = 5^2 so 3,4,5 is a pythagorean triple. What else works? Plug in some numbers and notice. How approximately 30,forty,50 or 3 hundred,4 hundred,500?

Answer 3

I'll show you how to find infinitely many Pythagorean triples.
Pythagorean triples are 3 whole numbers,a,b,c, that satisfy
the equation a² + b² = c².
For example, 3,4,5 is a Pythagorean triple
because 3² + 4² = 5², i.e., 9 + 16 = 25.
Now you can check that all the following are Pythagorean
triples:
3 4 5
5 12 13
7 24 25
9 40 41
11 60 61
--------------------
By continuing the pattern, you can get a Pythagorean
triple in which the smallest member is an odd
number greater than 1. I'll let you figure out
the pattern! Hint: The next one is 13, 84, 85.
Good luck!

Answer 4

Rather than give you a full answer straight out, I'll give you a hint.

A Pythagorean triple is a set of 3 whole numbers (a, b, c) which form the sides of a right-angled triangle. That's to say three whole numbers (integers) which satisfy a^2 + b^2 = c^2

The first (lowest numbers) is 3, 4, 5 (3^2 + 4^2 = 9 + 16 = 25 = 5^2). That's one.

A hint for another... start with the longest side being 13...




Edit: or just take the first answer posted and don't bother trying to understand the process behind it. ;-)

Answer 5

pythagorean triples are numbers (integer) combination which related one and another in the form of three sides of the triangle.

example: 3, 4, 5 ---> insert the number to the phytagoras, then 5^2 = 3^2 + 4^2, it shows the relationship among 3, 4 and 5 as the sides of the triangle

another sample : 7, 24, 25 ----> put the number in phytagoras, 25^2 = 24^2 + 7^2, that shows the relationship as well