SOLUTION: If 8,15,17 is a pythagorean triple, which of the following could also be a pythagorean triple? F. 10,17,19 G. 3,10,12 H. 3,4,6 J. 24,45,51 P.S can u also email me the an

Algebra ->  Triangles -> SOLUTION: If 8,15,17 is a pythagorean triple, which of the following could also be a pythagorean triple? F. 10,17,19 G. 3,10,12 H. 3,4,6 J. 24,45,51 P.S can u also email me the an      Log On


   



Question 1107569: If 8,15,17 is a pythagorean triple, which of the following could also be a pythagorean triple?
F. 10,17,19
G. 3,10,12
H. 3,4,6
J. 24,45,51
P.S can u also email me the answer choice and why

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Any multiple of a Pythagorean triple is also a Pythagorean triple (the two triangles would be similar).

One of the answer choices is a multiple of 8, 15, 17.

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
You  may  want  to  look  into  this  Wikipedia   article on Pythagorean triples

https://en.wikipedia.org/wiki/Pythagorean_triple


Also,  if you have a triple of integer numbers  (a,b,c),  where  "c"  is the largest of the three,
you always can check if the triple is Pythagorean by comparing   a%5E2+%2B+b%5E2  and   c%5E2.