What is the definition of pythagorean theorem?

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In mathematical terms:

* a² + b² = c²

Where:

* a and b are the lengths of the two shorter sides (legs) of the right triangle.

* c is the length of the hypotenuse.

This theorem is a fundamental concept in geometry and has wide applications in various fields, including architecture, engineering, and physics.