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Triangle Calculator

Solve any triangle with our comprehensive calculator. Enter known values (SSS, SAS, ASA, or AAS) to calculate all sides, angles, area, and more.

Triangle Calculator
Triangle Results
Enter triangle values and click Calculate to see results.

Complete Guide to Triangles

What is a Triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. Triangles are classified based on their sides and angles, and they have several unique properties that make them fundamental to geometry and trigonometry.

Applications of Triangle Calculations

Practical Uses

  • Architecture and construction (roof trusses, bridges)
  • Navigation and surveying (triangulation)
  • Computer graphics and 3D modeling
  • Physics and engineering (force vectors, structural analysis)
  • Astronomy (calculating distances between celestial objects)

Mathematical Importance

  • Basis for trigonometry
  • Fundamental to Euclidean geometry
  • Used in coordinate geometry and vector mathematics
  • Essential for understanding more complex polygons
  • Foundation for calculus concepts

Frequently Asked Questions

Professional Tips

  • Always draw a diagram when solving triangle problems
  • Label all known values clearly on your diagram
  • Check that angles sum to 180° in your calculations
  • Verify the Triangle Inequality Theorem when given three sides
  • Use the Law of Sines carefully as it can produce ambiguous cases

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