Determine if Triangle XYZ is a Right Triangle

In triangle XYZ, the lengths of sides are as follows: side XY measures 6 units, side YZ measures 8 units, and side ZX measures 10 units. Determine whether triangle XYZ is a right triangle.

Recall that a triangle is a right triangle if it satisfies the Pythagorean theorem, which states that for a right triangle with legs of lengths $a$ and $b$, and hypotenuse of length $c$, the following equation holds: $$ a^2 + b^2 = c^2 $$