Find the angles of a triangle

Online calculator provides the ability to solve geometric problems related to finding the angles of a triangle if the lengths of its three sides are known.
To find the angles of a triangle, if the lengths of its three sides are known (a, b and c), you can use the cosine theorem. The cosine theorem establishes a relationship between the lengths of the sides and the cosines of the angles of a triangle.

Cosine theorem for a triangle ABC:

cos(α) = (a^2 + c^2 - b^2) / (2 * a * c),
cos(β) = (a^2 + b^2 - c^2) / (2 * a * b),
cos(γ) = (b^2 + c^2 - a^2) / (2 * b * c).

Where:
α, β, γ - angles of a triangle,
a, b, c - lengths of the sides of the triangle opposite the angles α, β, γ respectively.

After finding the cosines of the angles of the triangle, the angles themselves can be obtained by finding the arccosines of the corresponding values:
α = arccos(cos(α)),
β = arccos(cos(β)),
γ = arccos(cos(γ)).

Note that the results of the arccosines will be expressed in radians, they can be converted to degrees by multiplying by (180/pi).
Using these formulas, the calculator can calculate the angles of a triangle if the lengths of its sides are known.