Question

3. Given that (5,12, 13) is a Pythagorean triple, which of the following isn't a Pythagorcan

triple?
(1) (10, 24, 26)
(3) (50,120,130)
(2) (10, 17, 18)
(4) (15, 36, 39)

Answer 1

2

Explanation:

Well, let’s use a cancelling technique.

We know that 10, 24, 26 is just 5, 12, 13 multiplied by 2. So that works! And 50, 120, 130 is just 5, 12, 13 multiplied by 10. So that also works! And 15, 36, 39 is just 5, 12, 14 multiplied by 3. Therefore 2 is our answer...

Answer 2

(2) (10,17,18)

Explanation: