Triangle Calculator
Parse geometric constraints using Law of Sines and Cosines. Validate SSS, SAS, and ASA configurations while computing area, perimeter, and radii.
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SSS - Three Sides
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The entered measurements do not form a valid triangle.
Please configure parameters and execute the action.
About Triangle Calculator
Triangle Calculator solves general triangles from SSS, SAS, ASA, or AAS measurements. It returns side lengths, angles, area, perimeter, semiperimeter, altitudes, medians, inradius, and circumradius.
How to Use
Choose a known-measurement case and enter the requested sides or angles.
- Select SSS, SAS, ASA, or AAS.
- Enter the known measurements using one length unit.
- Calculate to see all solved triangle properties.
Examples
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Equilateral triangle from three sides
Case: SSS Sides: a = 5, b = 5, c = 5 Angles: A = 60°, B = 60°, C = 60° Area: 10.825318 Perimeter: 15 Inradius: 1.443376
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Solve from two sides and included angle
Case: SAS Side b: 7 Side c: 10 Angle A: 45° Side a: 7.146413 Angle B: 43.918861° Angle C: 91.081139° Area: 24.748737
Real-World Usage Scenarios
- Construction Layout - Determine missing dimensions when assembling structural triangular frames, truss bracing, or land plot boundaries.
- Land Surveying - Calculate inaccessible terrain distances using field-measured bearings and side lengths.
- Engineering Design - Validate geometric properties for brackets and machine components requiring precise angle and area specifications.
Frequently Asked Questions
Which triangle configurations are supported?
The tool solves SSS (three sides), SAS (two sides and included angle), ASA (two angles and included side), and AAS (two angles and a non-included side).
What happens if the triangle inequality is violated?
The tool will return an error, as a valid triangle cannot exist if the sum of any two side lengths is not greater than the third side.
Are the results calculated in degrees or radians?
All angular results are provided in degrees to align with standard architectural and engineering workflows.
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