which set of numbers is a pythagorean triple?

Question

8,10,12

Answer 1

There are three numbers in a Pythagorean triple number set.

You have posted only one set of numbers.

It is not a Pythagorean triple.

A Pythagorean triple consists of three numbers a,b, and c such that a^2 + b^2 = c^2.

8^2 + 10^2 = 64 + 100 = 164
12^2 = 144

164 != 144

Answer 2

There are 16 primitive Pythagorean triples with c ≤ 100:

(3, 4, 5) (20, 21, 29) (11, 60, 61) (13, 84, 85)
(5, 12, 13) (12, 35, 37) (16, 63, 65) (36, 77, 85)
(8, 15, 17) (9, 40, 41) (33, 56, 65) (39, 80, 89)
(7, 24, 25) (28, 45, 53) (48, 55, 73) (65, 72, 97)

Answer 3

There are an infinite number of pythagorean triples.
8, 10, & 12 are not a pythagorean triple.

Basically, Pythagorean triples are whole numbers that fit the relationship a^2 + b^2=c^2

Some examples are:
3,4,5
5,12,13
8,15,17
7,24,25

and all multiples thereof.

Answer 4

Pythagorean Triple

Click on the URL below for additional information concerning Pythagorean Triple.

en.wikipedia.org/wiki/Pythagorean_triple

- - - - - - - - -s-

Answer 5

There are an infinite number of them. I won't derive the formulas but if you pick r and s like so:

r^2 - s^2 = a,
2rs = b, and
r^2 + s^2 = c

then a^2 + b^2 = c^2 and you will generate them all.

HTH

Charles

Answer 6

Everybody knows 4 , 5 , 6
How about 20 , 21 , 29
In general 2mn , m^2 - n^2 , m^2 + n^2 with m and n what you want.

Th

Answer 7

3-4-5
5-12-13

Answer 8

3-4-5
5-12-13

Answer 9

Just try them and see if they work:

Is 8^2+10^2 = 12^2?

I don't think so!

Answer 10

3,4,5 is the smallest set of whole numbers for a right triangle. It will also work for 6,8,10. A^+B^=C^