Pythagoras’ Theorem: In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides ($a^2 + b^2 = c^2$).

Finding the Missing Side of a Triangle: Substitute known side lengths into the equation to solve for the unknown side.

Coordinate Geometry Application: Determine the distance between two points by using horizontal and vertical distances to form a right triangle.

3D Pythagoras: Use to find diagonals in cuboids, which is useful for calculating distances in three-dimensional shapes.