Identifying Right Triangle Properties

Consider a triangle ABC where the lengths of sides AB, AC, and BC are 7 cm, 8 cm, and 5 cm respectively. To determine whether triangle ABC is a right triangle, we can apply the Pythagorean theorem. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this information, evaluate if triangle ABC is a right triangle by determining whether the following equation holds:

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

where c is the length of the longest side and a and b are the lengths of the other two sides. Choose the correct answer from the options below.