SOLUTION: If vertices of an equilateral triangle are (-2,0)&(4,0),find the third vertex. Also find the area of this equilateral triangle

Question 1025128: If vertices of an equilateral triangle are (-2,0)&(4,0),find the third vertex. Also find the area of this equilateral triangle
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
That side is on the x-axis, so its midpoint is (1,0) and it can be determined using 30-60-90 triangles that the third vertex is either

.

The area of an equilateral triangle with side length s is

, so for a triangle with side length 6, its area is

.
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