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

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

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

Triangle Calculator

Input

Angle β

Side length b

Side length c

Decimal places

Result

Side length a

Angle α

Angle γ

Height

Perimeter

Area

Formulas for calculation

Angle γ

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

Angle α

\(\displaystyle α = 180°-β-γ\)

Side a

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

Perimeter

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

Height

\(\displaystyle h = b· sin(γ)\)

Area

\(\displaystyle A = \frac{a·h}{2}\)

Calculate a triangle from b,c and β

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