Triangle solver

Solve SSS, SAS, ASA or ambiguous SSA triangles, with all valid solutions and angles in degrees.

Your input

Outputs are cleared when the input changes.

Result

Enter your data or use the example, then run the tool.

Worked example

SSS sides 3,4,5 give a right triangle with area 6 and perimeter 12.

SSA with A=30°, a=7, b=10 gives two triangles; both are displayed.

Method

Apply the sine and cosine laws and the 180° angle sum. SSA checks both supplementary-angle possibilities.

Side data are scaled for stable geometry; area and perimeter use the same input length unit.

Limits

Positive sides and angles strictly between 0° and 180°; the strict triangle inequality must hold. AAA alone cannot determine size.

Floating-point approximation; near-degenerate triangles are sensitive. No certified surveying or construction guidance.

Sources

OpenStax: triangle sine and cosine laws

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