Homeโ€บ Mathโ€บ Triangle Calculator

Triangle Calculator

Given any three sides or angles of a triangle (with at least one side), compute remaining sides, angles, area, and perimeter.

Inputs

Area
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Perimeter
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Angles (A, B, C)
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Sides (a, b, c)
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Triangle type
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About Triangle Calculator

Law of cosines

cยฒ = aยฒ + bยฒ - 2abยทcos(C). Use it to find a side when you know two sides and the included angle (SAS), or to find an angle from three sides (SSS).

Law of sines

a/sin(A) = b/sin(B) = c/sin(C). Use it when you have ASA or AAS. Beware the "ambiguous case" SSA, which can have 0, 1, or 2 valid triangles.

Heron\u2019s formula

Area = โˆš(s(s-a)(s-b)(s-c)) where s = perimeter/2. Computes area from three sides without needing angles. Stable for most triangles; can lose precision on very thin ones.