If ABC is an equilateral triangle with co-ordinates of B(-3,0) and of C(3,0). Find the co-ordinates of vertex A.Please illustrate with a graph

Asked by Shivam Saxena | 13th Aug, 2010, 10:01: AM

Expert Answer:

Dear Student
Given that  ABC is an equilateral triangle with co-ordinates of B as (-3,0) and of Cas(3,0)
Let Coordinates ofA be (x,y) so
AB2 =BC2 =AC2
So(x+3)2+y2=(x-3)2+y2
gives 6x =0 or x =0
Also (x-3)2+y2 =36
using x = 0  we get y =3
So required coordinate is (0,3)
Regards
Team Topperlearning

Answered by  | 13th Aug, 2010, 11:46: AM

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