Question

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.

Answer 1

A

Explanation:

It's On EDU, And It is correct

Answer 2

(24, 32, 40) is a Pythagorean triplet.

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.

Explanation:

We are given the following in the question:

Pythagorean triplet: (3,4,5)

New Pythagorean triplet obtained = (24, 32, 40)

Pythagoras theorem:

For a right angles triangle the sum of square of sides of triangle is equal to the square of hypotenuse of triangle.

Verification:

`24^2 + 32^2\\=576 + 1024\\=1600\\=40^2`

Yes, Tessa is correct.

(24, 32, 40) is a Pythagorean triplet.

Pythagorean triple be created using multiplies of a known Pythagorean triple

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.