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
[tex]c^2=a^2+b^2[/tex]
where
c is the greater side
a and b are the legs (perpendicular sides)
we have
[tex]c=7.5\\a=2.1\\b=7.2[/tex]
substitute
[tex]7.5^2=2.1^2+7.2^2[/tex]
[tex]56.25=4.41+51.84[/tex]
[tex]56.25=56.25[/tex] ----> is true
therefore
Yes, the set of numbers create a Pythagorean triple
