Can someone help me solve for this missing side?

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Answer 1 · 2018-02-28T07:49:18

Fourth option is the right choice.

#c=24.34#

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First you need to apply the sine's law to calculate the measure of angle #m\angle B#.

#a/Sin(A^{\circ})=b/Sin(B^{\circ})#

By putting the values and solving for #m\angle B#, you will get:

#m\angle B=22.32^{\circ}#

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Now to find the value of #c#, we need to apply the cosine's law, which is stated as:

#c=a^2+b^2-2abCos(C^{\circ})#

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To get the missing angle #m\angle C#, we need to apply the theorem that sum of all the angles in a triangle is #180^{\circ}#

So, that we get:

#m\angle C=138.68^{\circ}#

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Now, by applying the cosine's law, you will get:

#c=24.34#

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That's it!