As shown in the figure, the area of triangle ABC is 120 square centimeters, D is the midpoint of BC & nbsp;, AE = 13be, EF = 12fd, then the area of triangle AFD is______ Square centimeter

As shown in the figure, the area of triangle ABC is 120 square centimeters, D is the midpoint of BC & nbsp;, AE = 13be, EF = 12fd, then the area of triangle AFD is______ Square centimeter

Because D is the midpoint of BC, we can know: △ abd = △ ACD = 12, △ ABC = 12 × 120 = 60 (square centimeter), because AE = 13be, we can know: AE = 14ab, △ AED = 14, △ abd = 14 × 60 = 15 (square centimeter), and because EF = 12fd, we can know FD = 23ed, △ AFD = 23, △ AED = 23 × 15 = 10 (square centimeter)