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Triangle Solver (SSS / SAS / ASA)

Select the known combination (three sides, two sides plus the included angle, or two angles plus the included side) and this tool will compute the remaining.

Need step-by-step derivations or ambiguous SSA handling? Use the advanced triangle solver.

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Known values

Used in SSS and SAS; for SAS it is one of the sides adjacent to angle C.

In SAS this is the other side adjacent to angle C.

Used in SSS and as the included side between angles A and B in ASA.

First known angle for the ASA mode.

Second known angle for the ASA mode.

SAS uses the included angle between sides a and b.

Enter your known values and click “Solve triangle” to see the computed sides, angles, area, and radii here.

FAQ

Which input combinations are supported?

You can pick SSS, SAS, or ASA. Ambiguous SSA cases are intentionally excluded to keep the output deterministic.

How do you compute the area and radii?

Once all three sides are known, the solver uses Heron’s formula for the area, then derives the circumradius with R = abc / (4S) and the inradius with r = S / s.

Do you validate impossible triangles?

Yes. The calculator checks the triangle inequality and the 180° interior-angle sum before showing any results.

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