Straight line-1

A vertex of an equilateral triangle is (2,3) and the equation of the opposite side is $ \sqrt{3}x+y=1 $.find the equations of other sides of triangle.

Comments

answer

The other two equations are y=3 and $ y-3=\sqrt3(x-2) $
The reason for this answer is angle measure.
Line $ x\sqrt3 +y=1 $ makes angle of $ 120^o $ with Ox axis so the others , one is parallel to Ox and passes by (2,3) and has equation y=3, the other passes by the same point ant has slope $ \sqrt 3 $ and has equation
$ y-3=\sqrt3(x-2) $

Thank you

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