Question

How do you use the Pythagorean Theorem to determine if the following three numbers could represent the measures of the sides of a right triangle: 3, 4, 5?

Answer 1

`3^2+4^2=5^2`
so these numbers could represent the measures of the sides of a right triangle.

Explanation:

The Pythagorean Theorem says that given 3 numbers, `a, b, and c` where `C` is the largest of the 3 numbers
the numbers can be used to form the sides of a right triangle if (and only if)
`color(white)("XXX")c^2=a^2+b^2`