Question

Determine if the set of numbers create a Pythagorean triple. 2.1, 7.2, and 7.5

Answer 1

Yes, the set of numbers create a Pythagorean triple

Explanation:

we know that

If a set of numbers create a Pythagorean triple, then the set of numbers must satisfy the Pythagorean Theorem

`c^2=a^2+b^2`

where

c is the greater side

a and b are the legs (perpendicular sides)

we have

`c=7.5\\a=2.1\\b=7.2`

substitute

`7.5^2=2.1^2+7.2^2`

`56.25=4.41+51.84`

`56.25=56.25` ----> is true

therefore

Yes, the set of numbers create a Pythagorean triple