This lesson shows how to apply the Pythagorean formula by solving a step-by-step examples. The Pythagorean formula is one of the most important topics in geometry. It has many real-world applications and connects to several advanced concepts. To use this formula, the triangle must be right-angled (triangle has \(90°\) 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 and learners looking for a clear, easy-to-follow proof. Whether you’re preparing for a test or reviewing geometry basics, this explanation makes the concept simple and visual.