A) \[{{30}^{o}}\]
B) \[{{15}^{o}}\]
C) \[{{45}^{o}}\]
D) None of these
Correct Answer: A
Solution :
Smallest angle is opposite to smaller side. \[\therefore \cos C=\frac{{{b}^{2}}+{{a}^{2}}-{{c}^{2}}}{2ab}=\frac{49+48-13}{2\times 7\times 4\sqrt{3}}\]\[=\frac{3}{2\sqrt{3}}=\frac{\sqrt{3}}{2}\] Þ \[\angle C={{30}^{o}}\].
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