larrythompson9466 larrythompson9466
  • 03-01-2019
  • Mathematics
contestada

For triangle ABC, angle A=110, angle B=43, and side b=15. Find side c.

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tramserran
tramserran tramserran
  • 03-01-2019

Answer: 10

Step-by-step explanation:

First, find m∠C by using the Triangle Sum Theorem:

∠A + ∠B + ∠C = 180°

110 + 43 + ∠C = 180°

     153   + ∠C = 180°

                ∠C = 27°

Next, Use the Law of Sines to solve for c:

[tex]\dfrac{b}{sin\ B}= \dfrac{c}{sin\ C}[/tex]

[tex]\dfrac{15}{sin\ 43}= \dfrac{c}{sin\ 27}[/tex]

[tex]\dfrac{15\ sin\ 27}{sin\ 43}= c[/tex]

[tex]10 = c[/tex]


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