<|system|>
Find the area of triangle $A B C$, correct to five decimal places, if
$$
|A B|=10 \mathrm{~cm} \quad|B C|=3 \mathrm{~cm} \quad \angle A B C=107^{\circ}
$$</s>.
<|user|>
Can you answer based on context?
<|assistant|>
14.34457