Free Triangle Calculator

Why Triangle Calculations Matter

Triangles form the basis of modern geometry with applications in:

  • 🏗️ Structural engineering calculations
  • 📡 Satellite navigation systems
  • &#x
    1F3AE; 3D game development
  • 📐 Architectural design

Triangle Types Demystified

By Sides

  • Scalene (no equal sides)
    • >Isosceles (2 equal sides)
  • Equilateral (all sides equal)

By Angles

  • Acute (all angles < 90°)
    • >Right (one 90° angle)
  • Obtuse (one angle > 90°)

Essential Triangle Formulas

Law of Sines: a/sin(A) = b/sin(B) = c/sin(C)

ong>Law of Cosines: c² = a² + b² – 2ab cos(C)

Area (Heron’s Formula): √[s(s-a)(s-b)(s-c)]

Real-World Applications

🌉 Bridge Construction

Calculate load distribution using triangular truss systems

🛰️ GPS Triangulation

Determine precise locations using three satellite points

Complete Triangle Solution Guide with Interactive Calculator

Triangle Solving Made Simple

Our advanced calculator handles all triangle cases:

  • ✅ SSS (Side-Side-Side)
  • &#x
    2705; SAS (Side-Angle-Side)
  • ✅ ASA (Angle-Side-Angle)
  • ✅ AAS (Angle-Angle-Side)
  • &#x
    2705; SSA (Side-Side-Angle)

Real-Time Visualization

The interactive diagram helps:

  • 🔺 Verify your calculations visually
  • &#x
    1F4D0; Understand triangle proportions
  • 📏 Check angle relationships

Professional Applications

Civil Engineering

Calculate roof truss angles and bridge supports

Game Development

Create 3D mesh collisions and physics calculations