Triangle from given side c, and angles alpha and beta, calculator and formula

This function calculates various parameters of a triangle from from the side length c and the angles α and β

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

Triangle calculator

Input

Angle α

Angle β

Side length c

Decimal places

Resultat

Side a

Side b

Angle γ

Height

Perimeter

Area

Formulas for calculation

Angle γ

\(\displaystyle γ = 180-α-β\)

Side a

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

Side b

\(\displaystyle b = \frac{c}{sin(γ)}·sin(β) \)

Perimeter

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

Height

\(\displaystyle h = b· sin(γ)\)

Area

\(\displaystyle A = \frac{a·h}{2}\)