If the two vertices of an equilateral triangle be `(0,0),(3,sqrt(3)),` find the third vertex.

Explanation

Given,two vertices `(0,0)` and `(3,sqrt3)`


Let the third vertex of the equilateral triangle be `(x,y)`


Distance between `(0,0)` and `(x,y)`
= Distance between `(0,0)` and `(3,sqrt3) =`
Distance between `(x,y)` and `(3,sqrt3)`


So,by distance formula

`sqrt(((x-0)^2+(y-0)^2))
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