The Co-ordinate of the equilateral triangle’s vertices P and Q (-4, 0) and (4, 0). The Co-ordinate of the third vertex could be:

Question

Question

Answer 1

GIVEN:

Co-ordinate of the equilateral triangle’s vertices P and Q (-4, 0) and (4, 0).

CONCEPT:

All 3 sides of an equilateral triangle are equal and all 3 angles are 60°

FORMULA USED:

No formula

CALCULATION:

To get the coordinate of the point R, it is obvious that ‘x’ coordinate must be ‘0’ so y coordinate will be OR = (+4) tan 60° = 4√3

∴ Coordinates of R = (0, 4√3)

Note: It can be (0, -4√3) as well