Question

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

Answer 1

Answer:

Yes, the set of numbers create a Pythagorean triple

Step-by-step 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