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mr Goodwill [35]
3 years ago
15

In the triangle below, angle B measures 60° and BC is 18. What is the length of AC

Mathematics
2 answers:
TEA [102]3 years ago
6 0
Ac is 42 i think is i didnt help sorry ._.          ...................................
hichkok12 [17]3 years ago
3 0

Answer:

AC=9\sqrt{3}\ units

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC

sin(60\°)=\frac{AC}{BC}

sin(60\°)=\frac{\sqrt{3}}{2}

so

\frac{AC}{BC}=\frac{\sqrt{3}}{2}

we have

BC=18\ units

substitute

\frac{AC}{18}=\frac{\sqrt{3}}{2}

AC=18\frac{\sqrt{3}}{2}=9\sqrt{3}\ units

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