SuriyaU488641 SuriyaU488641

29-10-2022
Mathematics

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

If mA 56 mB 60 and c 8 what is the measure of side length b class=

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AmeeyaP180628 AmeeyaP180628

29-10-2022

Using the law of sines:

[tex]\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]

Solve for b:

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

Answer:

7.708

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