Step 1

To state the law of sines.

Given information:

A triangle ABC with sides a, b, and c.

Calculation:

It is the relationship between sides and angles of non-right triangles.

Law of sines state that the ratio of length of the side of the non-right-angled triangle of the sine of the opposite angle of that side.

This is same for all angles and sides in an oblique triangle.

In a triangle ABC, the sides are a, b, and c, then

\(\displaystyle{\frac{{{a}}}{{{\sin{{\left({A}\right)}}}}}}={\frac{{{b}}}{{{\sin{{\left({B}\right)}}}}}}={\frac{{{c}}}{{{\sin{{\left({C}\right)}}}}}}\)

To state the law of sines.

Given information:

A triangle ABC with sides a, b, and c.

Calculation:

It is the relationship between sides and angles of non-right triangles.

Law of sines state that the ratio of length of the side of the non-right-angled triangle of the sine of the opposite angle of that side.

This is same for all angles and sides in an oblique triangle.

In a triangle ABC, the sides are a, b, and c, then

\(\displaystyle{\frac{{{a}}}{{{\sin{{\left({A}\right)}}}}}}={\frac{{{b}}}{{{\sin{{\left({B}\right)}}}}}}={\frac{{{c}}}{{{\sin{{\left({C}\right)}}}}}}\)