Can someone help me solve for this missing side?

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1 Answer
Feb 28, 2018

Fourth option is the right choice.

c=24.34

Explanation:


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}

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})

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}

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

c=24.34

That's it!