Question

Which set of numbers represents a Pythagorean triple?

A. 6, 9, 12
B. 7, 10, 12
C. 16, 18, 25
D. 27, 36, 45

Answer 1

Square each number in a triple and then determine if the sum of the squares of two numbers is equal to the other.

I'll work out the first option to show what I mean.

Answer 2

A. 6, 9, 12

6² = 36
9² = 81
12² = 144

Does 36 + 81 = 144 ?

Does 117 = 144? No, so option A is not a Pythagorean Triple.

Answer 3

@shaelyn_linden

If you test option B, then I will do option C, okay?

B. 7, 10, 12

Answer 4

@directrix
7^2=49
10^2=100
12^2=144
36+81=117
So B isn't the answer.

Answer 5

My Turn

Answer 6

C. 16, 18, 25

16² = 256

18² = 324

25² = 625

Does 625 = 324 + 256? Does 625 = 580 No, so this is not a Pythagorean Triple.

Answer 7

So it would be D?

Answer 8

@shaelyn_linden

Your Turn for D. 27, 36, 45

I would say that this has to be it but let's check. There may be a typo or trick or something going on.

Answer 9

Yes, it will be D.

I am attaching a list of Pythagorean Triples, well some of them. I'll use D to show you how they can help in your work.

Answer 10

There are infinitely many Pythagorean Triples. I usually remember (3,4,5); (5,12,13), and (8,15, 17). Here's how they work...

Answer 11

Look at this: (27, 36, 45) = (9*3, 9*4, 9*5) so (27, 36, 45) is a Pythagorean triple. It is a 9 multiple of the (3,4,5) triple.

Answer 12

So, if you are doing a problem about the sides of a right triangle, you may be able to save time.