In the given figure, PQR is an equilateral triangle with coordinates of Q and R as (-2,0) and (2,0) respectively. Find the coordinates of the vertex P.

from the given figure

QR=2 + 2 = 4

So, PQ=QR = RP = 4

Now, QR = 4

[∵ PQR is an equilateral triangle]

In right angled ∆OPR,