Question

A=2.1, b=7.2, c=7.5
Is this a right triangle?

Answer 1

yes

Explanation:

We can test if this is a valid right triangle by plugging the given a, b, and c values (the triangle's side lengths) into the Pythagorean Theorem.

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

↓ plugging in the given values

`2.1^2 + 7.2^2 \stackrel?= 7.5^2`

↓ simplifying the exponents ...
`x^2 = x \cdot x`

`4.41+ 51.84 \stackrel?= 56.25`

↓ simplifying the addition

`56.25 \stackrel{\checkmark}{=} 56.25`

The Pythagorean Theorem is satisfied for the given a, b, and c values. Therefore, a valid right triangle can be constructed with those side lengths.