Pythagoras' Theorem

Pythagoras' Theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, it is expressed as:
\( a^2 + b^2 = c^2 \)

Where:
- \( a \) and \( b \) are the lengths of the two perpendicular sides (legs).
- \( c \) is the length of the hypotenuse, which is the longest side opposite the right angle.