Pythagorean Theorem Calculator

Calculate the sides of a right triangle using the Pythagorean theorem. Enter any two sides to find the third, with instant results and visual representation. Perfect for geometry, construction, and engineering calculations.

Pythagorean Theorem Calculator

Calculate the sides of a right triangle using the Pythagorean theorem. Perfect for geometry, construction, and engineering calculations.

Features

  • Calculate any side of a right triangle
  • Interactive visualization
  • Real-time calculations
  • Automatic validation
  • High precision results
  • Mobile-friendly interface
  • No registration required

How to Use

  1. Choose what you want to find:
    • Hypotenuse (c)
    • Leg (a)
    • Leg (b)
  2. Enter the known measurements
  3. Get instant results with visual representation
  4. See verification calculations

Understanding the Pythagorean Theorem

The Pythagorean theorem states that in a right triangle:

  • a² + b² = c²
  • where c is the hypotenuse (longest side)
  • and a and b are the other two sides (legs)

Properties

  • Only works for right triangles (90-degree angle)
  • The hypotenuse is always the longest side
  • All sides must be positive numbers
  • The theorem works in both directions

Common Applications

Construction

  • Checking for square corners
  • Roof pitch calculations
  • Layout measurements
  • Foundation alignment

Engineering

  • Structural calculations
  • Force vector analysis
  • Distance calculations
  • Navigation systems

Mathematics

  • Geometry problems
  • Distance formulas
  • Vector calculations
  • Coordinate systems

Why Use Our Calculator

  • Instant calculations
  • Visual feedback
  • High precision
  • User-friendly interface
  • Works offline
  • Free to use