High School Triangle Solver
Solve any triangle using SSS, SAS, ASA, or AAS methods and visualize the result.
Sides
Angles (Degrees)
Properties
Triangle Solver Visualization
About the Triangle Solver
Trigonometry is the branch of mathematics dealing with the relationships between the sides and angles of triangles. While right-angled triangles are simple to solve using Pythagoras, oblique (non-right) triangles require more advanced laws. This tool automates those calculations.
Solving Methods
- SSS (Side-Side-Side): You know the lengths of all three sides. We use the Law of Cosines to find the angles. Note: The sum of any two sides must be greater than the third side for a valid triangle.
- SAS (Side-Angle-Side): You know two sides and the included angle between them. We use the Law of Cosines to find the third side, then the Law of Sines for the remaining angles.
- ASA (Angle-Side-Angle): You know two angles and the side connecting them. Since angles in a triangle sum to 180°, finding the third angle is simple arithmetic. The Law of Sines finds the remaining sides.
- AAS (Angle-Angle-Side): Similar to ASA, but the known side is not between the angles. We find the third angle first, then use the Law of Sines.
Important Formulas
FAQ
Yes, this tool is completely free for students and educators.
This happens in SSA (Side-Side-Angle), which this tool simplifies. Sometimes two different triangles can be formed with the same measurements. This solver calculates the primary acute solution.
Yes. If you enter sides 1, 1, and 100, it will tell you that no such triangle exists because the sides don’t connect.
This calculator uses Degrees for all angle inputs and outputs.