Pitagorean Theorem

The Pythagorean Theorem is a fundamental principle in geometry that relates to right triangles, which have one angle measuring 90 degrees. It states that the square of the length of the longest side (the hypotenuse) is equal to the sum of the squares of the lengths of the other two sides. Mathematically, this is expressed as \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse and \( a \) and \( b \) are the other two sides. This theorem is useful for calculating distances and for various applications in science, engineering, and architecture.