If (0, - 3) and (0, 3) are the two vertices of an equilateral triangle, find the coordinates of its third vertex.

Question

Philoid · Accepted Answer

Coordinates are A(0, -3) and B(0,3) and C(x, y)

Using distance formula =

⇒ AB = AC

On squaring both sides, we get

=

(1)

⇒ AB = BC

On squaring both sides, we get

=

(2)

On subtracting equation (2) from (1) we get

On substituting y = 0 in equation (1), we get

Therefore coordinates of third vertex are (), (),