Question

Give an example to show that a multiple of a pythagorean triple is also a pythagorean triple.

Answer 1

`{3}^(2) + {4}^(2) = {5}^(2)`

`{(3 * 2)}^(2) + {(4 * 2)}^(2) = {(5 * 2)}^(2)`

`{6}^(2) + {8}^(2) = {10}^(2)`

3-4-5 is a Pythagorean triple.

Multiplying each of these numbers by 2, we obtain 6-8-10, which is a Pythagorean triple.