Step 1:
\The sides of the triangle are and the angle
.
Law of cosines: .
Substitute and
in above cosine rule.
side .
Law of sines: .
Substitute and
in above formula.
In a triangle, total of three angles is .
Substitute and
in above expression.
side and angles
and
.
Step 2:
\The sides of the triangle and angle
.
Law of cosines: .
substitute and
in above formula.
Side
Step 3:
\The two angles of the triangle is and side
In a triangle, total of three angles is .
Substitute in above expression.
Thus, the third angle .
Law of sines: .
Substitute and
in above formula.
Law of sines: .
Substitute and
in above formula.
and
\
Step 4:
\The sides of the triangle are
\ and
.
Law of cosines: .
Substitute and
in above formula.
Law of sines: .
Substitute and
in above formula.
In a triangle, total of three angles is .
Substitute and
in above expression.
Thus , the three angles of the triangle are ,
and
.