Overview

The Pythagorean Calculator finds the missing side of a right triangle when two sides are known. The Pythagorean theorem is fundamental to construction, surveying, navigation, physics, and all fields requiring distance calculations.

Formula

Pythagorean theorem: a² + b² = c² (c = hypotenuse, a and b = legs)

Find hypotenuse: c = √(a² + b²)
Find leg: a = √(c² - b²)

Pythagorean triples (integer solutions):
(3, 4, 5), (5, 12, 13), (8, 15, 17), (7, 24, 25) ...
General form: a = m² - n², b = 2mn, c = m² + n² (m > n > 0)

How to Use

1. 1Enter the lengths of the two known sides.
2. 2Select whether you are finding the hypotenuse or a leg.
3. 3The remaining side length is calculated automatically.

Tips

• ✔The hypotenuse (c) is always the longest side of a right triangle.
• ✔Multiples of Pythagorean triples (e.g., 6, 8, 10 from 3, 4, 5) also form right triangles.
• ✔3D distance extends the theorem: d = √(a² + b² + c²).

FAQ