It is known that the two foci of an ellipse are f1(-2 √ 2,0) and F2 (2 √ 2,0). A straight line L that passes through F 1 and is not parallel to the coordinate axis intersects the ellipse at m, n ... If the perimeter of the triangle MNF2 is 12, find the ellipse equation.

c=2√2

c△Mn F2 = | f 1M |+| F2M |+| F2N |+| f 1N | = 4a = 12，a=3

b= 1

x^2/9+y^2= 1(a & gt； b & gt0)