Triangle from given side b, and angles alpha and gamma, calculator and formula

This function calculates various parameters of a triangle from from the side length b and the angles α and γ

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

Triangle calculator

Input

Angle α

Angle γ

Side length b

Decimal places

Resultat

Side a

Side c

Angle β

Height

Perimeter

Area

Formulas for calculation

Angle β

\(\displaystyle β = 180-α-γ\)

Side a

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

Side c

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

Perimeter

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

Height

\(\displaystyle h = b· sin(γ)\)

Area

\(\displaystyle A = \frac{a·h}{2}\)