Triangle Angle Calculator
Calculate angles of a triangle using sides, other angles, or coordinates.
Results
Angles:
α = -°
β = -°
γ = -°
Sides:
a = - units
b = - units
c = - units
Area:
-
square units
Perimeter:
-
units
Triangle Type:
-
Triangle Angle Formulas
Law of Cosines
c² = a² + b² - 2ab cos(γ)
b² = a² + c² - 2ac cos(β)
a² = b² + c² - 2bc cos(α)
Law of Sines
a/sin(α) = b/sin(β) = c/sin(γ) = 2R
where R is the circumradiusAngle Sum
α + β + γ = 180°
Note: The sum of all angles in a triangle is always 180 degrees. The Law of Sines and Law of Cosines are used to calculate unknown angles and sides.
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