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Pachacha [2.7K]
1 year ago
6

If m∠A = 56°, m∠B = 60°, and c = 8, what is the measure of side length b?

Mathematics
1 answer:
Alekssandra [29.7K]1 year ago
5 0

Using the law of sines:

\frac{b}{sin(B)}=\frac{c}{sin(C)}

Solve for b:

\begin{gathered} b=\frac{c\cdot sin(B)}{sin(C)} \\ so: \\ b=\frac{8\cdot sin(60)}{sin(64)} \\ b\approx7.708 \end{gathered}

Answer:

7.708

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