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Radda [10]
3 years ago
10

Use 1/2ab sin C formula pls

Mathematics
1 answer:
Harman [31]3 years ago
3 0

Step-by-step explanation:

area =  \frac{1}{2} a.b \sin(C)  \\ from \:cosine \: rule \\  {c}^{2}  =  {a}^{2}  +  {b}^{2}  - 2a.b \cos(C)  \\ 36 = 144 + 81 - (2 \times 12 \times 9) \cos(C)  \\ 189 = 216 \cos(C)  \\  \cos(C)  = 0.875 \\ C =  \cos {}^{ - 1} (0.875) \\ C = 28.96 \degree \\ area =  \frac{1}{2}  \times 144 \times 9 \times  \sin(28.96 \degree)  \\ area = 313.8 \: sq \: units

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