ABC is an equilateral triangle with coordinates of B and C as B(-3,0) and C(3,0). Find the coordinate of vertex A.
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Since ABC is an equilateral triangle, therefore
AB = AC = BC
OB = 3 units ( along + ve direction of x-axis)
OC = -3 units ( Along - ve direction of x-axis)
But side CB = OB - OC
=> CB = 3 - ( -3)
=> CB = 6 units
=> BC = 6 units
=> AC = BC = 6 units
{Pythagoras theorem shown in picture}
Hence,
The co-ordinates of vertex A are (0, 3✓3)
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