Oblique Triangle Solver
Enter any three known sides or angles. The Oblique Triangle Solver uses the Law of Sines and Law of Cosines to solve all cases (SSS, SAS, ASA, AAS, SSA) including the ambiguous case.
About the Oblique Triangle Solver
The Oblique Triangle Solver is a comprehensive, mathematically precise tool that solves any non-right triangle using the Law of Sines and Law of Cosines. This Oblique Triangle Solver handles all five cases: SSS, SAS, ASA, AAS, and the ambiguous SSA case with up to two solutions. Proudly supported by Agri Care Hub.
Supported Cases
• SAS: two sides + included angle → third side + angles
• ASA/AAS: two angles + one side → remaining sides and angle
• SSA: two sides + non-included angle → ambiguous case (0, 1, or 2 triangles)
Why This Calculator Is Essential
Oblique triangles appear in: • Surveying and land measurement • Navigation and GPS • Engineering and structural analysis • Physics (vector forces, optics) • Architecture and construction • Astronomy and celestial mechanics Accurate oblique triangle solution is critical in real-world applications where right angles are rare.
How to Use
- Enter any three known values (sides a,b,c or angles A,B,C).
- Leave unknown values blank.
- Click “Solve Oblique Triangle”.
- Get all sides, angles, area, and solution type.
When Should You Use This Tool?
- Surveying and mapping
- Civil engineering and construction
- Navigation and aviation
- Physics vector problems
- Trigonometry education
- Architectural design
Scientific Foundation
The Law of Sines (a/sin A = b/sin B = c/sin C) and Law of Cosines (c² = a² + b² - 2ab cos C) are exact theorems in Euclidean geometry. The SSA ambiguous case is rigorously handled using the sine inverse and supplementary angle. Full theory at Oblique Triangle on Wikipedia and all trigonometry textbooks.
Conclusion
The Oblique Triangle Solver brings professional trigonometry tools to your browser — with perfect accuracy and beautiful design. Whether you’re a student solving homework, an engineer designing structures, or a surveyor mapping land, this tool delivers precise results every time. For more math tools, visit Agri Care Hub.