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

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

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

Triangle Calculator

Input

Angle γ

Side length a

Side length c

Decimal places

Result

Side length b

Angle α

Angle β

Height

Perimeter

Area

Formulas for calculation

Angle α

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

Angle β

\(\displaystyle β = 180°-α-γ\)

Side b

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

Perimeter

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

Height

\(\displaystyle h = b· sin(γ)\)

Area

\(\displaystyle A = \frac{a·h}{2}\)

Calculate a triangle from a, c and γ

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