M and N are the two points on the line EF. It is known that EA: ab: BF = 1:2:3, m and N are the midpoint of EA and BF respectively, and Mn = 8cm Write out the problem-solving process of geometry

M and N are the two points on the line EF. It is known that EA: ab: BF = 1:2:3, m and N are the midpoint of EA and BF respectively, and Mn = 8cm Write out the problem-solving process of geometry

Let EA be x, then AB = 2x, BF = 3x, EA / 2 + AB + BF / 2 = 8, X / 2 + 2x + 3x / 2 = 8, x = 2, EF = x + 2x + 3x = 6x = 12