Question

The side lengths are 5,3, and 4. is this a right triangle? how do I know if this is a right triangle or not?

Answer 1

when we talk about right triangles they must fulfill the pythagorean theorem, which stand that

$a^2+b^2=c^2$

in which c must be the longest side of the triangle.

chech if this is true with the side lenghts given

$3^2+4^2=5^2$

simplify the expression

$\begin{gathered} 9+16=25 \\ 25=25 \end{gathered}$

in this case yes it is a right triangle because the pythagorean theorem applies