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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,

User ChuckO
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2 Answers

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Answer:

No triangle is formed

Explanation:

took test

User Darren Zou
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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.

User Tarabyte
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