Tess created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triple 3, 4, and 5 by 8. Is Tess correct? Can a Pythagorean triple be created using multiples of a known Pythagorean triple.
Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.
Yes, as long as each number in the Pythagorean triple is multiplied by a different whole number.
No, Pythagorean triples only exist with small numbers.
No, multiplying a known Pythagorean triple by a whole number will not create a Pythagorean triple.
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Answers
tess created a pythagorean triple of (24, 32, 40) by multiplying the known pythagorean triple 3, 4, and 5 by 8. is tess correct? can a pythagorean triple be created using multiplies of a known pythagorean triple.
yes, as long as each number in the pythagorean triple is multiplied by the same whole number.
yes, as long as each number in the pythagorean triple is multiplied by a different whole number.
no, pythagorean triples only exist with small numbers.
no, multiplying a known pythagorean triple by a whole number will not create a pythagorean triple.
A Pythagorean triple is a list of three numbers that works in the Pythagorean theorem — the square of the largest number is equal to the sum of the squares of the two smaller numbers. The multiple of any Pythagorean triple (multiply each of the numbers in the triple by the same number) is also a Pythagorean triple.