3}\]. Trick: Since the ANGLES are\[{{30}^{o}},{{60}^{o}},{{90}^{o}}\], therefore sides must be\[1:\sqrt{3}:2\]. HENCE\[a=10,b=10\sqrt{3}\].

"> 3}\]. Trick: Since the ANGLES are\[{{30}^{o}},{{60}^{o}},{{90}^{o}}\], therefore sides must be\[1:\sqrt{3}:2\]. HENCE\[a=10,b=10\sqrt{3}\].

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In \[\Delta ABC\], if \[\angle C={{90}^{o}}\],\[\angle A={{30}^{o}}\], \[c=20\], then the values of a and b are

Joint Entrance Exam - Main (JEE Main) Mathematics in Joint Entrance Exam - Main (JEE Main) 10 months ago

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\[\angle C={{90}^{o}},\angle A={{30}^{o}},c=20,\] then \[a=\frac{c\sin A}{\sin C}=10\] and  \[b=\frac{c\sin B}{\sin C}=10\sqrt{3}\]. Trick: Since the ANGLES are\[{{30}^{o}},{{60}^{o}},{{90}^{o}}\], therefore sides must be\[1:\sqrt{3}:2\]. HENCE\[a=10,b=10\sqrt{3}\].

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