Is the Triangle a Right Triangle?

Consider a triangle where the lengths of the sides are given as follows:

Side A = 5 units, Side B = 7 units, and Side C = 10 units. Determine whether this triangle is a right triangle.

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

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