FORMULA COPIED! 📐

Pythagoras Theorem

a² + b² = c²
Where c is the Hypotenuse (Longest Side)

Pythagoras Variable Guide 📐

a
Side A (Leg)

One of the shorter sides forming the 90° angle. Also called the 'altitude'.

b
Side B (Leg)

The second shorter side. Together with Side A, it forms the right angle base.

c
Hypotenuse

The longest side of the triangle, located directly opposite the right angle.

²
Square Power

Means multiplying the side by itself (e.g., a × a). Area of the side's square.

90° Angle

The "L" shaped corner. The theorem ONLY works if this angle is present.

Square Root

Used at the end to find the actual length of 'c' from c² value.

+
The Addition

Adding the squares of the two legs gives you the square of the hypotenuse.

3:4:5
Magic Triples

Sets of whole numbers that always satisfy the theorem perfectly.

=
The Balance

The sum of the small squares MUST equal the large square of the hypotenuse.

Legacy of the Theorem 📜

Δ

1800 BC | OLD BABYLON

Long before Pythagoras, the Plimpton 322 tablet proves Babylonians understood right-angle relationships and triples!

500 BC | PYTHAGORAS

The Greek philosopher Pythagoras of Samos formalized the rule. It became the backbone of Western geometry and architecture.

TODAY | THE GPS ERA

Now, this theorem helps your phone's GPS calculate distances between coordinates, making modern navigation possible.

"Did you know? Builders still use the 3-4-5 rule today to ensure corners are perfectly square when laying foundations!"