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

What are the brackets around BC for?

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?

anonymous · Answer

Law of cosines.

anonymous · Answer

And what are the brackets for?

anonymous · Answer

which is 30 degrees?

anonymous · Answer

Oh, ∠ABC = 30

anonymous · Answer

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...

anonymous · Answer

But, law of cosines would work, too right?

anonymous · Answer

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

anonymous · Answer

Think so..

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

this has two solutions..
|dw:1337708017050:dw|