You know it as a² + b² = c². But the Pythagorean Theorem is not just geometry; it's a beautiful algebraic truth.

The theorem describes the sacred relationship between the sides of a right triangle.

'a' and 'b' are the two shorter sides that form the right angle. 'c', the hypotenuse, is the long side opposite it.

The algebraic power comes when you know two of the sides and need to find the third unknown side.

If you know a=3 and b=4, then 3² + 4² = c². This becomes a simple algebraic equation: 9 + 16 = c².

Now, you just solve for 'c'. 25 = c², so c = 5. You've used algebra to find a physical length.

This one simple algebraic relationship is the foundation of all navigation, construction, and engineering.

It allows us to calculate real-world distances without ever having to physically measure them.

It is the perfect, explosive marriage of geometric shapes and algebraic logic.

It's not just a formula to memorize; it's one of the most powerful and practical algebraic ideas ever discovered.