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

This function calculates various parameters of a triangle from from the side length a 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 a

Decimal places

Resultat

Side b

Side c

Angle γ

Height

Perimeter

Area

Formulas for calculation

Angle γ

\(\displaystyle γ = 180-α-β\)

Side b

\(\displaystyle b = \frac{a}{sin(α)}·sin(β) \)

Side c

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

Perimeter

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

Height

\(\displaystyle h = b· sin(γ)\)

Area

\(\displaystyle A = \frac{a·h}{2}\)