For each Pythagorean triple, find two triples in the same family.?

Question

Please help, What does this mean?

Sample Problem.

7-24-25

What does it want me to do.
Due in one day and need help bad.
Google doesn't help and my parents can't do this stuff.

Answer 1

You can multiply it by a factor like 2
if you do it will be 14^2 + 48^2 = 50^2

or if you are looking for other triples then they are:

3-4-5

and 5-12-13

hope I can help...

Answer 2

The first answer is good.

A really simple way of following that guidance is to add a 0 to everything (which is the same as multiplying by 10). Or you can add 2 0s, which is like multiplying by 100.

300, 400, 500 is an obvious Pythagorean triple.

That almost has to be what they mean by "family".

Answer 3

because of the fact the final answer is a = x^2 - y^2, b = 2 x y and c = x^2 + y^2, shall we've the particular case of x = y + one million.. for this reason x^2 + y^2 = 2 x y + one million. it truly is, c = b + one million, it truly is what you have on your occasion with y = seventy 4 and so b = 2 * seventy 4 * seventy 5 = 11100. it truly isn't the respond on your question yet is what I first theory you have been asking.