Given a triangle with a = 12, A = 13°, and B = 12°, what is the length of c? Round to the nearest tenth.

=5.1 units

Step-by-step explanation:

To use the sine rule to find the length of c we first need to find the angle at C.

C=180 - (13+12)

C=180-25

C=155°

a/Sin A=c/Sin C

Calculating for the value of c using the sine rule:

12/Sin 13=c/Sin 155

c=12 sin 155

=5.07 units

Thus to 1 decimal places, the value of c is 5.1 units.