Question

In triangle ABC, angle A measures 33 degrees. If angle C measures 38 degrees and BC has length 12, find AB.

a) 12sin38/sin33

b)12sin(38/33)

c)6

d)12sin33/sin38

e)6sqrt3

Answer #1

Sine formula

Let ABC be a triangles with sides BC = a , CA = b and AB = c

We have = =

Given BC = a = 12 and let AB = c

And A = 330 , C = 380

From the sine formula, we have

=

=

Thus, c = AB =

Thus, **option 'a'** is the correct answer.

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