Answer
The triangle is not a right triangle.
Work Step by Step
RECALL:
If the sides of a triangle satisfies $c^2=a^2+b^2$ (from the Pythagorean Theorem) where c is the hypotenuse (the longest side) and a and b are the two other sides, then the triangle is a right triangle.
Substitute the given side-lengths to obtain:
$c^2=a^2+b^2
\\6^2=3^2+4^2
\\36=9+16
\\36\ne25$
The triangle's side lengths do not satisfy the equation, so the triangle is NOT a right triangle.
