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enot [183]
2 years ago
14

Given: The

Mathematics
1 answer:
AlekseyPX2 years ago
7 0

Answer:

25

Step-by-step explanation:

We can calculate for a using sine rule.

For angle A,

A + 27° + 82° = 180 ( sum of angles in a triangle).

A + 109 = 180

A = 180 - 109 = 71°

Therefore,

A = 71°

calculating for side a

\frac{sin \: 27}{12}  =   \frac{sin71}{a}  \\ a =  \frac{12 \times sin71}{sin27}  \\ a \:  =  \frac{11.346}{0.454}  \\ a = 25

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Step-by-step explanation:

we know that

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