The Pythagorean Theorem for a Spherical Right Triangle

On the unit sphere, side lengths are measured by the central angles. The sketch below illustrates the Pythagorean Theorem for spherical right triangles.[br][br]Drag points A, B, and C slowly. Have a calculator handy to confirm the calculation at the bottom.
The Pythagorean Theorem for a Spherical Right Triangle

Information: The Pythagorean Theorem for a Spherical Right Triangle