Angles to the side lengths a,b,c, calculator and formula

With this calculator the angles of a triangle are calculated from the side lengths a, b and c

Enter the lengths of the 3 sides, then click the 'Calculate' button.

Angle calculator

Input

Side length a

Side length b

Side length c

Decimal places

Resultat

Angle α

Angle β

Angle γ

Formeln zur Calculation of angles

Angle α

\(\displaystyle α = acos\left(\frac{b^2+c^2-a^2}{2bc} \right)\)

Angle β

\(\displaystyle β = acos\left(\frac{a^2+c^2-b^2}{2ac} \right)\)

Angle γ

\(\displaystyle γ = acos\left(\frac{a^2+b^2-c^2}{2ab} \right)\)