Triangle: sum of angles
Enter two angles and this caltulator will compute third one for you.

# Beta version

BETA TEST VERSION OF THIS ITEM
This online calculator is currently under heavy development. It may or it may NOT work correctly.
You CAN try to use it. You CAN even get the proper results.
However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
Feel free to send any ideas and comments !

# What do you want to calculate today?

 Choose a scenario that best fits your needs I know β and γ and I want to calculate αI know α and γ and I want to calculate βI know α and β and I want to calculate γ

# Calculations data - enter values, that you know here

 First angle (α) => Second angle (β) <= Third angle (γ) <=

# Result: First angle (α)

Summary
Used formulaShow source$α=\pi- β- γ$
ResultShow source$\frac{1}{2}~\pi$
Numerical resultShow source$1.5708$
Result step by step
 1 Show source$\pi+\frac{-1}{4}~\pi+\frac{-1}{4}~\pi$ Add coefficient of one 2 Show source$1~\pi+\frac{-1}{4}~\pi+\frac{-1}{4}~\pi$ Grouped coefficients 3 Show source$\left(1+\frac{-1}{4}+\frac{-1}{4}\right)~\pi$ Simplify arithmetic 4 Show source$\frac{1}{2}~\pi$ Result
Numerical result step by step
 1 Show source$\frac{1}{2}\cdot3.141592653589793$ Multiply fractions 2 Show source$\frac{\left(1\cdot3.141592653589793\right)}{2}$ Multiply by one 3 Show source$\frac{3.141592653589793}{2}$ Simplify arithmetic 4 Show source$1.5708$ Result

# Some facts

• A triangle is a polygon with three edges and three vertices.
• The sum of angles in triangle is 180 degrees or π radians.
$\alpha + \beta + \gamma = \pi = 180 ^\circ$
• Due to length of the sides we distinguish below types of triangles:
• scalene triangle - all sides have different length,
• isosceles triangle - at least two sides have the same length,
• equilateral triangle - all sides have the same length.
• Due to angles measure we distinguish below types of triangles:
• acute triangle - all angles measure less than 90 degrees (π/2 radians),
• right triangle - one of angle measures exacly 90 degrees (π/2 radians),
• obtuse triangle - one of angle measures greater than 90 degrees (π/2 radians).

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