Question

To find the sides of the triangle if all the angles are given

Answer 1

Step-by-step explanation:

1. The angles always add to 180°:

A + B + C = 180°

When you know two angles you can find the third.

 

2. Law of Sines (the Sine Rule):

$\binom{a}{ \sin(a) } = \frac{b}{ \sin(b) } = \frac{c}{sinc}$

When there is an angle opposite a side, this equation comes to the rescue.

Note: angle A is opposite side a, B is opposite b, and C is opposite c.

 

3. Law of Cosines (the Cosine Rule):

${c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos(c)$

This is the hardest to use (and remember) but it is sometimes needed

to get you out of difficult situations.

It is an enhanced version of the Pythagoras Theorem that works

on any triangle.

With those three equations you can solve any triangle (if it can be solved at all).