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📐 Triangle Solver

Solve any triangle from common combinations like SSS, SAS, ASA, SSA, or right triangles. Find missing sides, angles, area, and perimeter.

Triangle Solver

Enter sides and angles in one of the common layouts (SSS, SAS, ASA, SSA, or right triangle) and this triangle calculator will find all remaining sides, angles, area, and perimeter.

Known values

Choose the pattern that matches your question: three sides, side‑angle‑side, angle‑side‑angle, an SSA case, or a right triangle with two legs.

Inputs

Side a

Side b

Side c

triangle calculatorright triangle solversolve triangle with sides & angles

Solution

Sides (a, b, c)

3, 4, 5

Angles (A, B, C)

36.8699°, 53.1301°, 90°

Perimeter

Area

How to use this tool

Pick the pattern that matches the sides and angles given in your question.
Enter the known values. The solver will compute missing sides, angles, area, and perimeter.
For SSA cases, review both possible solutions when two valid triangles exist.

Triangle calculator for exam questions

Solve SSS, SAS, ASA/AAS, SSA, and right triangle problems without re-deriving formulas.
Use law of cosines and law of sines behind the scenes to find missing parts.
Great for checking work on trigonometry and geometry homework.

What this triangle solver supports

All basic triangle cases including possible SSA ambiguity.
Area via ½ab sin(C) or equivalent formulas.
Perimeter as the sum of all three sides.

FAQ

Which units should I use for sides?: You can use any length units (cm, m, inches, etc.) as long as you are consistent. The triangle calculator will return perimeter and area in those implied units.
Are angles always in degrees?: Yes. Enter all angles in degrees. Internally the solver converts to radians for trig functions.
Why do SSA cases sometimes give two triangles?: When you know two sides and a non-included angle (SSA), the law of sines can produce two possible angles, leading to two different valid triangles. This is the classic 'ambiguous case' in trigonometry.

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