# Please can you give me an example of Law of sines and Law of cosine with answer?

Please can you give me an example of Law of sines and Law of cosine with answer?

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Clelioo
Step 1
Given:
Law of sines and law of cosines
Step 2
To determine:
Law of sines and law of cosines with an answer: $$\displaystyle=?$$
Step 3
Solution:
Law of cosines:
It is basically used to calculate the angle(or side length) measurements for triangles other
than right triangles:
Let the sides of the triangle be a, b , c and the included angle is: $$\displaystyle=\alpha$$
Hence,
As per the cosines law:
$$\displaystyle{c}^{{{2}}}={a}^{{{2}}}+{b}^{{{2}}}-{\left({2}{a}{b}\right)}{\cos{\alpha}}$$
So,
Using this law we can easily find the third side;
Step 4
Now:
Law of sines:
It is basically used to find the measure of either angles or the sides of the triangles; This rule is an equation relating the lengths of the sides of the triangle to the sines of its angles; It gives the relationship between the sides and the angles of non-right triangles:
Let a, b and c be the sides of the triangle:
So,
By the law of sines:
$$\displaystyle{\frac{{{\sin{{A}}}}}{{{a}}}}={\frac{{{\sin{{B}}}}}{{{b}}}}={\frac{{{\sin{{C}}}}}{{{c}}}}$$
Where angles A, B and C are the different angles of the triangle.