Mathematics

Triangle Solver

Solve a triangle from three sides: area, perimeter and all three angles.

01Input and settings

The calculation runs in your browser. You can use the tool without installing software.

02Result

Waiting for input
Waiting for input

Enter your values or load the example to see the result here.

About this tool: Triangle Solver

Solve a triangle from three sides: area, perimeter and all three angles.

Use the same length unit for all three sides. A valid triangle requires every side to be shorter than the sum of the other two. The calculator uses a stable area formula and the cosine rule; area is in squared input units and all angles are in degrees.

How the calculation works

s = (a+b+c)/2; S = √(s(s−a)(s−b)(s−c))

Worked example

a
3
b
4
c
5
S = 6; P = 12; A ≈ 36.87°; B ≈ 53.13°; C = 90°

Questions and answers

What does this tool do?

Solve a triangle from three sides: area, perimeter and all three angles. Use the same length unit for all three sides. A valid triangle requires every side to be shorter than the sum of the other two. The calculator uses a stable area formula and the cosine rule; area is in squared input units and all angles are in degrees.

What affects precision and input format?

Floating-point results are rounded for display. Keep the units shown in the input labels; decimal points and decimal commas are accepted.

Where are the calculations performed?

The calculation runs in your browser. You can use the tool without installing software.

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