Math, Science & Engineering 100% Local Processing Limit: Instant Trigonometric Calculation

Triangle Trigonometry & Angle Solver (Law of Sines/Cosines)

Solve any oblique or right triangle given SSS, SAS, ASA, or AAS using the Law of Sines and Law of Cosines.

Sponsor Space

Triangle Trigonometry & Angle Solver

Angles (∠A, ∠B, ∠C)
48.19°, 58.41°, 73.40°
Sum: 180.00°
Side Lengths (a, b, c)
7, 8, 9
Perimeter: 24.00
Area (Heron's Formula)
26.83 sq units
√(s(s-a)(s-b)(s-c))
Sponsor Space

How to Use the Triangle Trigonometry & Angle Solver (Law of Sines/Cosines)

  1. 1
    Select known triangle parameters: Side-Side-Side (SSS), Side-Angle-Side (SAS), or Angle-Side-Angle (ASA).
  2. 2
    Enter the known measurements (angles in degrees).
  3. 3
    Click "Solve Triangle" to execute the Law of Sines or Cosines.
  4. 4
    Review all 3 side lengths, all 3 interior angles (summing to 180°), perimeter, and total area.

Practical Example & Use Case

Common Real-World Scenario

Given a triangle with sides a=7, b=8, c=9: SSS solver calculates angles A≈48.19°, B≈58.41°, C≈73.40°, with an area of 26.83 sq units via Heron's formula.

Technical Notes & Limitations

Browser Engine Architecture

Enforces triangle inequality theorem (a + b > c). Ambiguous cases (SSA) are flagged if dual solutions exist.

Frequently Asked Questions

What is Heron's formula for triangle area?

Heron's formula computes Area = √(s(s - a)(s - b)(s - c)), where s is the semi-perimeter: s = (a + b + c) / 2.