Question

In a triangle ABC, = 30°, AB = 6cm and AC = 3√2cm. Find the possible lengths of [BC].

What are the brackets around BC for?

Answer 1

Law of cosines.

Answer 2

And what are the brackets for?

Answer 3

which is 30 degrees?

Answer 4

Oh, ∠ABC = 30

Answer 5

with the given sides, this is a call for the Law of Sines... and because of the info give, this is the ambiguous case meaning this could have 0,1, or 2 triangle solutions...

Answer 6

But, law of cosines would work, too right?

Answer 7

are you sure that 30 degrees is angle B? and that the triangle is labeled with the standard notation?

Answer 8

Think so..

Answer 9

if it is as you say, then the givens are SSA not SAS as is the case needed for Law of Cosines.

Answer 10

yes... Law of Sines, ambiguous case...

Answer 11

this has two solutions..