Triangle from given side a,b and angle gamma, calculator and formula

With this calculator, the side length c and the angles α and β the area, height and the perimeter of a triangle is calculated from the side lengths a, b and the angle γ

Enter the 3 values, then click on the 'Calculate' button.

Triangle Calculator

Input

Angle γ

Side length a

Side length b

Decimal places

Result

Side length c

Angle α

Angle β

Height

Perimeter

Area

Formulas for calculation

Side c

\(\displaystyle c = \sqrt{a^2+b^2-2· a·b·cos(γ)} \)

Angle α

\(\displaystyle α = asin\left(\frac{sin(γ)}{c}· a \right)\)

Angle β

\(\displaystyle β = 180°-α-γ\)

Perimeter

\(\displaystyle P = a+b+c\)

Height

\(\displaystyle h = b· sin(γ)\)

Area

\(\displaystyle A = \frac{a·h}{2}\)

Calculate a triangle from a, b and γ

Calculation of a triangle

Formulas for calculation

Triangle Functions

More Triangle Functions