Question

Which three measures could be side lengths of a right triangle?

5,7,2,\sqrt(27)
explain work please

Answer 1

First, let's square all the given measures, so we have 25, 27, 4, and 49. For three measures to form the sides of a right triangle, two of these squares have to add up to the third.

By inspection, we see that the measures of
`\boxed{5,√(27),7}` form a right triangle, since
`25+27=49.`