Question

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The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used.

C = 38°, a = 19, c = 10,

Answer 1

No triangle is formed

Explanation:

took test

Answer 2

We have two sides and one angle opposite to one of the known sides.

Begin with applying the Law of Sines to find angle A:

`(sin A )/(a)` =
`(sin C )/(c)`

Then, solve for sin A:
sin A =
`(a sinC)/(c)`

Now, plug in numbers:
sin A = 19 × sin(38) / 10 = 1.17

We know that it does not exist an angle whose sin is bigger than 1, therefore
no triangle is formed.