Over 2,500 years ago, Greek mathematician Pythagoras proved a universal rule about every right-angled triangle in existence: a² + b² = c². Today, this formula powers everything from GPS navigation to 3D video game graphics.

The Formula Broken Down

  • a and b: The two shorter sides that form the 90-degree right angle (the legs).
  • c: The longest diagonal side directly opposite the right angle (the hypotenuse).

Real World Example: The Baseball Diamond

A baseball diamond is actually a 90-foot by 90-foot square. When a catcher throws the ball from home plate to second base, how far is that throw?

  • Leg a = 90 feet
  • Leg b = 90 feet
  • a² + b² = 90² + 90² = 8,100 + 8,100 = 16,200
  • c = √16,200 ≈ 127.28 feet

The catcher has to throw the ball over 127 feet! Without the Pythagorean theorem, calculating diagonal distances in sports, construction, and game design would be impossible.