Triangle Solver
General triangle solution for angle and dimension checks in the workshop, diagonal lengths in steelwork and triangular blanks in sheet metal.
Area600mm²
- Sides a / b / c
- 30.000 / 40.000 / 50.000 mm
- Angles α / β / γ
- 36.870 / 53.130 / 90.000 °
- Perimeter
- 120 mm
- Height onto side c
- 24 mm
- Circumradius R
- 25 mm
- Inradius r
- 10 mm
METHOD
How it is calculated
Law of cosines: c² = a² + b² − 2ab·cos γ Law of sines: a / sin α = b / sin β = c / sin γ = 2R Area = ½ · a · b · sin γ r = Area / s
ASSUMPTIONS & NOTES
- Angles in degrees; any length unit works for sides (results in the same unit).
Results are for preliminary design and checking; base the final design on the governing standard and safety factors.
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