Triangle calculator

This calculator applies the Law of Sines $~~ \dfrac{\sin\alpha}{a} = \dfrac{\cos\beta}{b} = \dfrac{cos\gamma}{c}~~$ and the Law of Cosines $ ~~ c^2 = a^2 + b^2 - 2ab \cos\gamma ~~ $ to solve oblique triangles, i.e., to find missing angles and sides if you know any three of them.

The calculator shows all the steps and gives a detailed explanation for each step.

Oblique Triangle Calculator
input three values and select what to find
show help ↓↓ examples ↓↓
The missing value is:
Input three elements of a triangle:
calculator works with decimals, fractions and square roots (to input $ \color{blue}{\sqrt{2}} $ type $\color{blue}{\text{r2}} $)
$ a $
=
$ b $
=
$ c $
=
$ \alpha $
=
$ \beta $
=
$ \gamma $
=
Area
=
working...
examples
example 1:ex 1:
A triangle has sides equal to $ 3 m $, $5 m$ and $6 m$. Find angle $\alpha$.
example 2:ex 2:
What is the length of side c?
Sine and cosine law problem
example 3:ex 3:
Find angle $\beta$.
Sine and cosine law problem
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