EFG is an isosceles triangle in E such that EF = EG = 6cm and FG = 5cm. The circle (C) with center O and diameter [EG] intersects [FF] in K. Let S be the fourth vertex of the parallelogram EFKS. Let P be a point on [EG], distinct from O. The parallel to (FG) passing through P, crosses (EF) in R. x is the length of [EP], expressed in cm. what is the position of point P on [EG] for which the triangle and the trapezoid have the same perimeter? justify​