Question

Can the set of lengths be the side lengths of a right triangle?

18 m, 24 m, 30 m

Answer 1

for a right triangle,
(longest side)^2 = sum of other two sides squared

So \[30^{2} should equal 18^{2} + 24^{2}\]

30^2 = 900
18^2 + 24^2 = 900

hence this is a right triangle