Pythagorean Theorem Calculator

Calculate triangle sides using the Pythagorean Theorem instantly. Find the length of any side in a right triangle using a² + b² = c². Features visual representation and step-by-step solutions.

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