Question

ABC is an equilateral triangle. the coordinates of vertices B and C are (3,0)and (- 3,0) respectively find the coordinates of vertex A

Answer 1

AnSwEr

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)