Right Triangle Identification

Consider triangle ABC, where the lengths of sides AB, BC, and CA are 7, 24, and 25 units, respectively.

Determine whether triangle ABC is a right triangle.

Recall that a triangle is a right triangle if it satisfies the Pythagorean theorem, which states that for a triangle with sides of lengths $a$, $b$, and $c$, where $c$ is the longest side, it holds that:

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