Pythagorean Theorem Calculator

Find the missing side of a right triangle

Missing Side:

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Calculation:

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Triangle Type:

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Pythagorean Theorem

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

How to Use This Tool

  1. Enter the required values in the input fields
  2. Select any necessary options or units from the dropdown menus
  3. Click the calculate button
  4. View your results in the result section

Why We Use This Tool

  • Accuracy: Get precise calculations without manual computation errors
  • Efficiency: Save time by quickly performing complex calculations
  • Learning: Understand the formulas and concepts behind the calculations
  • Decision-making: Use reliable data to make informed choices

Formula

a² + b² = c²

Where:

  • a and b are the lengths of the legs
  • c is the length of the hypotenuse

Applications

The Pythagorean theorem is used in:

  • Construction and architecture
  • Navigation and GPS systems
  • Computer graphics and game development
  • Surveying and land measurement

Special Right Triangles

3-4-5 Triangle: A triangle with sides 3, 4, and 5 units

3² + 4² = 9 + 16 = 25 = 5²

5-12-13 Triangle: Another common Pythagorean triple

5² + 12² = 25 + 144 = 169 = 13²

Right Triangle Diagram

a b c 90°