Pythagorean Calculator

The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse. Known since ancient times, this theorem is used extensively in architecture, surveying, navigation, physics, and more.

This tool lets you enter any two of the three sides (a, b, and hypotenuse c) and calculates the missing side in real-time. It also validates whether the given values form a valid right triangle. The step-by-step formula is displayed, making this tool ideal for learning and verifying the Pythagorean theorem.

Area (½×a×b) and perimeter (a+b+c) are calculated automatically. Common Pythagorean triples (3-4-5, 5-12-13, 8-15-17) are available as preset buttons for quick learning. Simply leave the unknown side empty and the calculator does the rest.