Triangle Area Calculator

Quickly find the area of any triangle with our free Triangle Area Calculator. Enter base, height, sides, or coordinates for fast, accurate results—ideal for students, engineers, and anyone needing triangle area calculations.

Enter the length of the first edge of the triangle in the selected unit.
Enter the length of the second edge of the triangle in the selected unit.
Enter the length of the third edge of the triangle in the selected unit.

Advanced Triangle Area Calculator

Solving for the area of a triangle is essential in geometry, architecture, engineering, and everyday math. The Triangle Area Calculator at OkayCalculator makes finding triangle area simple—use base and height, three sides, two sides and the included angle, or even vertices’ coordinates. Perfect for students, professionals, DIYers, or anyone who works with geometric shapes.

What Is a Triangle?

A triangle is a three-sided polygon with three edges and three vertices. Triangles are among the most fundamental geometric shapes, used across design, construction, navigation, and many practical contexts. Each triangle can be uniquely described by its sides, angles, or even its vertices’ coordinates.

Triangle Area Formulas

  • Base and Height: Area = (base × height) / 2
  • Three Sides (Heron’s Formula): Area = √[s(s-a)(s-b)(s-c)], where s = (a + b + c) / 2
  • Two Sides and Included Angle: Area = (1/2) × a × b × sin(C)
  • Coordinates of Vertices: Area = ½ |x₁(y₂−y₃) + x₂(y₃−y₁) + x₃(y₁−y₂)|

These formulas cover all triangle types—scalene, isosceles, equilateral, and right triangles. The calculator can adapt to whatever information you provide for quick, error-free results.

How to Use the Triangle Area Calculator

  1. Choose the calculation method (base-height, three sides, side-angle-side, or coordinates).
  2. Input your measured values (be sure units match).
  3. Click Calculate and unlock the area instantly, shown in your chosen units.

The calculator can switch easily between metric and imperial systems—centimeters, meters, inches, feet, and more.

Practical Uses

  • Education: Solve geometry assignments or verify answers.
  • Engineering & Architecture: Determine areas for site plans, construction components, or land plots.
  • Art & Design: Calculate fabric, tile, or canvas areas for triangular patterns.
  • Navigation: Solve real-world problems involving location, mapping, or surveying.

Why Choose This Calculator?

  • Accuracy: Eliminates manual calculation errors regardless of the method used.
  • Versatility: Supports every major way to specify a triangle’s dimensions.
  • Speed: Get reliable, step-by-step solutions in a fraction of a second.
  • User-Friendly: Simple input forms, clear labeling, and instant feedback—perfect for all ages.
  • Free & Accessible: Use online from any device—no sign-up or download required.

Helpful Tips

  • Always use matching units for all inputs.
  • Use decimals for extra precision.
  • Triple-check difficult triangles—especially for angle-based or coordinate calculations.

Example Calculation

  • Base = 10 cm, Height = 5 cm:
    Area = (10 × 5) / 2 = 25 cm²
  • Sides a=5, b=6, c=7 cm (Heron’s Formula):
    s = (5+6+7)/2 = 9; Area = √[9×4×3×2]=√216 = 14.70 cm² (rounded)

Also See: Circle Area Calculator or Parallelogram Area Calculator

Conclusion

The Triangle Area Calculator at OkayCalculator brings swift, accurate geometry solutions to your fingertips. Whether handling advanced math, planning a project, or simply checking a homework answer, this tool ensures every triangle’s area is only a click away.