Triangle from given side a, c and angle alpha, calculator and formula

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

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

Triangle calculator

Input

Angle α

Side length a

Side length c

Decimal places

Resultat

Side b

Angle β

Angle γ

Height

Perimeter

Area

Formulas for calculation

Angle γ

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

Angle β

\(\displaystyle β = 180-α-γ\)

Side b

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

Perimeter

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

Height

\(\displaystyle h = b· sin(γ)\)

Area

\(\displaystyle A = \frac{a·h}{2}\)

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