As shown in the figure, triangle ABC is divided into triangle BDE and quadrilateral ACDE by line segment de. question: what is the area of triangle BDE that is the area of quadrilateral ACDE?

As shown in the figure, triangle ABC is divided into triangle BDE and quadrilateral ACDE by line segment de. question: what is the area of triangle BDE that is the area of quadrilateral ACDE?

According to the graph, we can see that: the height on the bottom BD of △ BDE: the height on △ abcbc = 2: (2 + 6) = 1:4, & nbsp; & nbsp; & nbsp; s △ BDE: s △ ABC = (12 × 3 × 1): (12 & nbsp; × 7 × 4) = 3:28; therefore, the area of triangle BDE is the area of quadrilateral ACDE: 3: (28-3) 3:25 = 325