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

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

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

Triangle Calculator

Input

Angle β

Side length a

Side length b

Decimal places

Result

Side length c

Angle α

Angle γ

Height

Perimeter

Area

Formulas for calculation

Winkel α

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

Winkel γ

\(\displaystyle γ = 180°-β-α\)

Seite c

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

Perimeter

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

Height

\(\displaystyle h = b· sin(γ)\)

Area

\(\displaystyle A = \frac{a·h}{2}\)

Calculate a triangle from a,b and β

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