Straight Line Question 99
Question: The vertex of an equilateral triangle is (2,-1) and the equation of its base in $ x+2y=1 $ . The length of its sides is [UPSEAT 2003]
Options:
A) $ 4/\sqrt{15} $
B) $ 2/\sqrt{15} $
C) $ 4/3\sqrt{3} $
D) $ 1/\sqrt{5} $
Correct Answer: B $ |AD|=| \frac{2-2-1}{\sqrt{1^{2}+2^{2}}} |=\frac{1}{\sqrt{5}} $ $ \tan 60{}^\circ =\frac{BD}{AD} $
Þ $ \sqrt{3}=\frac{1/\sqrt{5}}{BD} $
Þ $ BD=\frac{1}{\sqrt{15}} $ $ BC=2BD=2/\sqrt{15} $ .
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Answer:
Solution:
BETA
