Pythagorean Theorem Calculator

Calculate the missing side length of a right triangle using the Pythagorean Theorem formula: a² + b² = c². Enter any two side lengths to find the third.

Understanding the Pythagorean Theorem

What is the Pythagorean Theorem?

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) equals the sum of squares of the other two sides (a and b). This relationship is expressed as: a² + b² = c².

Key Features:

  • Only works for right triangles (triangles with one 90-degree angle)
  • The hypotenuse is always the longest side
  • Can be used to find any side if you know the other two
  • Essential in geometry, engineering, and architecture

Common Applications

  • Construction and building design
  • Navigation and distance calculations
  • Engineering and structural analysis
  • Computer graphics and game development
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