Triangle Solver Calculator
Solve any triangle using law of sines and cosines. Enter 3 known values (sides or angles) and calculate all missing measurements.
Input Values
Results
| Case | -- |
| Area | -- |
| Perimeter | -- |
| Type | -- |
Triangle Solving Methods
Law of Sines
- Formula: a/sin(A) = b/sin(B) = c/sin(C)
- Use when: You know 2 angles and 1 side (AAS, ASA)
- Or: 2 sides and 1 non-included angle (SSA - ambiguous case)
Law of Cosines
- c² = a² + b² - 2ab·cos(C)
- Use when: You know 3 sides (SSS)
- Or: 2 sides and included angle (SAS)
Triangle Cases
- SSS: Three sides known
- SAS: Two sides and included angle
- ASA: Two angles and included side
- AAS: Two angles and non-included side
- SSA: Two sides and non-included angle (ambiguous)
Area Formulas
- Heron's: √(s(s-a)(s-b)(s-c))
- SAS: (1/2)ab·sin(C)
- Base×Height: (1/2)bh
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