Triangle ABC has sides measuring 10 cm, 24 cm, and 26 cm.
Determine whether triangle ABC is a right triangle. To check if a triangle is a right triangle, you can use the Pythagorean theorem which states that in a right triangle with sides of length $a$, $b$, and hypotenuse $c$, the following relationship holds:
$$ a^2 + b^2 = c^2 $$
Here, identify the longest side to be treated as the hypotenuse, and verify the equation.