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Triangle Sides Calculator

Triangle Sides Calculator: calculate sss: heron area with consistent units and explicit assumptions.

Inputs

mm
mm
mm

Results

Side a
3 mm
Side b
4 mm
Side c
5 mm
Angle A
36.869898 °
Angle B
53.130102 °
Angle C
90 °
Area
6 mm²
Perimeter
12 mm

Formula

SSS: Heron area = √[s(s−a)(s−b)(s−c)]

SAS: c² = a² + b² − 2ab cos(C)

ASA: a/sin(A) = b/sin(B) = c/sin(C)

Assumptions & limits

  • Ideal geometry; use consistent units. Results exclude tolerances, deformation and internal fittings.

Worked example

For the example inputs: Side a = 3 mm; Side b = 4 mm; Side c = 5 mm.

SSS: Heron area = √[s(s−a)(s−b)(s−c)]

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