This lesson shows how to apply the Pythagorean Theorem (\(a^2 + b^2 = c^2\)) by solving a step-by-step example.

The Pythagorean Theorem is one of the most important topics in geometry. It has many real-world applications and connects to several advanced concepts. To use this theorem, the triangle must be right-angled (with a \(90\)° angle).

❖ According to the Pythagorean Theorem:

The square of the hypotenuse is equal to the sum of the squares of the other two sides.

So, if you know the lengths of any two sides of a right triangle, you can easily calculate the third side.

For example, in triangle \(ABC\):

– Let \(AC\) be the hypotenuse, and \(AB\) and \(BC\) be the other sides.

– Then, the formula becomes: \((AB)^2 + (BC)^2 = (AC)^2\)

❖ The hypotenuse is always the longest side and lies opposite the \(90°\) angle.

✅ This lesson is perfect for students learning how to use the formula with numbers. Watch it to strengthen your understanding of this essential geometry rule.