Multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
<h3>How to verify if a triangle form Pythagorean triple?</h3>
Pythagoras's principle follows the rule:
c² = a² + b²
where
- a and b are the legs
- c is the hypotenuse side.
Therefore, Pythagorean triples are a² + b² = c² where a, b and c are the three positive integers. The most known and smallest triplets are (3,4,5).
If we reduced the length of the side of the triangle with the greatest common factor, it should give us 3, 4, 5.
Hence,
21, 28 and 35 has greatest common factor as 7
21 / 7 , 28 / 7 and 35 / 7
3, 4, 5
Hence, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
learn more on Pythagorean triple here: brainly.com/question/16246042
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