Question

Is this correct? law of sines

Answer 1

image attached. question: In the triangle below, you are given two measurements. What ONE other measurement would you need in order to use the Law of Sines? (There is more than one possible answer.)


my answer:
In order to use the Law of Sines, we need the measure of angle C.

Answer 2

@mathmale

Answer 3

Yes

Answer 4

Here is the law of sines:

\(\dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c}\)

What it is telling is that the ratio of the sine of an angle to the length of the opposite side is the same for all angles and their opposite sides.

In order to use the law of sines, you need to be able to establish the ratio.
You must know at least one side and the angle opposite that side.

Now look at your problem.
You know one side and one angle.
The side and angle you know are not opposite each other, so you do not have enough information to establish the ratio.

You must know one angle and the side opposite that angle.

Since you know side c, knowing angle C would work.
Since you know angle B, knowing side b would work.

The two answers are
the measure of angle C
the length of side b

Notice the problem states " (There is more than one possible answer.)"

Your answer is correct, but not complete.