A) 1 : 2 : 3
B) \[1:\sqrt{3}:2\]
C) \[\sqrt{2}:\sqrt{3}:3\]
D) \[1:\sqrt{3}:3\]
Correct Answer: B
Solution :
Angles are \[x+2x+3x={{180}^{o}}\]or 30o, 60o and 90o, therefore sides are in ratio of \[\sin {{30}^{o}}:\sin {{60}^{o}}:\sin {{90}^{o}}\] \[=\frac{1}{2}:\frac{\sqrt{3}}{2}:1=1:\sqrt{3}:2\]. Note: This is a fact. We have used it in so many questions.
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