Pythagorean Triples

[drsearllie]

Find a if the following set is a Pythagorean Triple:
(a,a + 7,2a + 1)

Please help. I know to do run the math for the Pythagorean theorem but I don't understand this. This looks like 2 sets of ordered pairs, added together, with the addition of a single unit. I've looked all over for example of this kind of math but can't find any. How can an ordered pair (essentially, a dot or point) be a triangle length? And why is this set added together?

 

[Deleted member 4993]

Find a if the following set is a Pythagorean Triple:
(a,a + 7,2a + 1)

Please help. I know to do run the math for the Pythagorean theorem but I don't understand this. This looks like 2 sets of ordered pairs, added together, with the addition of a single unit. I've looked all over for example of this kind of math but can't find any. How can an ordered pair (essentially, a dot or point) be a triangle length? And why is this set added together?

It is not a point. So (a,a + 7,2a + 1) is not related to ordered pair.

'a', 'a+7' and '2a+1' are the lengths of 3 sides of a triangle. Now you need to determine if that could be a right-angled triangle in an euclidean plane for any value of 'a'.

 

[drsearllie]

Thanks. I kinda feel stupid for not seeing it before lol the way it's grouped is chaos!