SOLUTION: ABC is an equilateral triangle the coordinates of vertices B and C are (a,0) and (-a,0) respectively. Find the coordinates vertex A. Please show the solution. Thanks.

Question 1190356: ABC is an equilateral triangle the coordinates of vertices B and C are (a,0) and (-a,0) respectively. Find the coordinates vertex A. Please show the solution. Thanks.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the coordinate vertex A is equal to (0,a*sqrt(3)).
see my worksheet below, and my example below that.

the length of each side of your equilateral triangle is 2a.

the length of the altitude of the triangle is x = a * sqrt(3).

that makes point A equal to coordinate point (0, a * sqrt(3)).

let me know if you have any questions.

theo
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