Length of Side BC in Right Triangle

In triangle ABC, the length of side AB is 6 cm, and the length of side AC is 8 cm. The length of side BC is unknown. If triangle ABC is a right triangle with the right angle at vertex A, what is the length of side BC?

Use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, BC is the hypotenuse.

Using the theorem:

$$AB^2 + AC^2 = BC^2$$