Triangle PQR is a 30-60-90 triangle with right angle Q and segment PQ as the longer leg. Find the possible coordinates of R if P(2,6) and Q(2,-6).
QR is horizontal with R either left or right of x = 2
PQ =12
RQ = 12/sqrt 3
so
R is at (2+12/sqrt3 , -6 )
or at (2-12/sqrt3 , -6)