Question

Do the following lengths form a right triangle? (Also how to tell that they do form a right triangle)

Answer 1

Answer: Yes this is a right triangle

We can determine this by using the converse of the pythagorean theorem.

a = 5, b = 12, c = 13

$a^2 + b^2 = c^2\\\\5^2 + 12^2 = 13^2\\\\25 + 144 = 169\\\\169 = 169 \ \ \checkmark$

Since those a,b,c values work in the pythagorean theorem, this proves we have a right triangle.