SOLUTION: Assume 𝛼 is opposite side a, 𝛽 is opposite side b, and 𝛾 is opposite side c. If possible, solve the triangle for the unknown side. Round to the nearest tenth. (If not poss

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Question 1204594: Assume 𝛼 is opposite side a, 𝛽 is opposite side b, and 𝛾 is opposite side c. If possible, solve the triangle for the unknown side. Round to the nearest tenth. (If not possible, enter IMPOSSIBLE.)
𝛼 = 116°, a = 22, b = 16
Found 3 solutions by josgarithmetic, MathLover1, mccravyedwin:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
Draw and label what you can from description.
You should be able to say these:


continue from there
.
.
I am finding this way: and .
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Law of Sines:


given:









°

then

°

and






Capture10-29-2023-1-07-48-PM



Answer by mccravyedwin(409)   (Show Source): You can put this solution on YOUR website!
This is the ASS J case which can be solved by either the law of sines or the law
of cosines.  Both the other tutors used the law of sines, so for enrichment
purposes, I'll use the law of cosines, even though it's probably longer, but
it'll go straight to c, without the need to find an intermediate value.












Since c cannot be negative, we use only the + sign.



Edwin
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