Question

which combination of integers can be used to generate the Pythagorean triple (8,15,17)? Please can someone help me. i don't know how to solve this.

Answer 1

do you know what mean Pythagorean triple ?

Answer 2

No I do not

Answer 3

collaborate please

Answer 4

from geometry in case of a right triangle do you know what say the pythagora's theorem

Answer 5

?

Answer 6

what would the equation I use be?
my choices are x and y values and the pythagorean theorem is a^2+b^2=c^2

Answer 7

the first pythagorean triple are (3,4,5) and we know that from these can be generated pythegorean triple too

do you know it how ?

Answer 8

No i do not will you please explain

Answer 9

from these triplet of (3,4,5) result that every (3n,4n,5n) will be too pythagorean triplet

Answer 10

but where do the x and y's come in

Answer 11

but than you check these (8,15,17) not will come never from these triplet of (3,4,5)

Answer 12

@phi
@Zarkon

please any idea ?

Answer 13

I am guessing they are referring to
https://en.wikipedia.org/wiki/Formulas_for_generating_Pythagorean_triples#Generating_triples_using_quadratic_equations

and in this case, we use
2 m n = 8
m n = 4
so either 1,4 or 2,2 is the pair they are looking for

Answer 14

8^2 +15^2 =17^2
how we can generating these triplet ?

Answer 15

using m=1, n= 4
the other two sides are
n^2 - m^2 = 16-1 = 15
and
n^2+m^2 = 16+1 = 17
and the first side is 2mn= 2*1*4= 8

so (1,4) looks like the pair we want

Answer 16

@lil.bossy do you understand it now ?

thank you @phi

Answer 17

yes thank both so much