The value of angel A = 40 and side= 9.3 cm
What is sine law?
The ratio of the side and the corresponding angle of a triangle is equal to the diameter of the circumcircle of the triangle. The sine law is can therefore be given as,
a/ sin A= b/ sin B= c/ sin C
The law of sines formula is used for relating the lengths of the sides of a triangle to the sines of consecutive angles. It is the ratio of the length of the side of the triangle to the sine of the angle thus formed between the other two remaining sides. The law of sines formula is used for any triangle apart from SAS triangle and SSS triangle. It says,
a/sin A = b/sin B = c/sin C
where,
a, b, and c are the lengths of the triangle
A, B, and C are the angles of the triangle.
Using angle sum property,
<A + <B + <C= 180
<A + 110 + 30 = 180
<A = 180- 140
<A= 40
Now, Using law
a/ sin A= b/ sin B= c/ sin C
12/sin 40 = c/ sin 30
c= 9.3
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