Current location - Trademark Inquiry Complete Network - Futures platform - For example, 1, the area of △ABC is 42. If D and E are the midpoint of AC and CD, and BE intersects at point F, what is the area of △DBF?
For example, 1, the area of △ABC is 42. If D and E are the midpoint of AC and CD, and BE intersects at point F, what is the area of △DBF?
Take the midpoint g of AE and connect DG, then DG is parallel to BE,
Therefore, the triangle CDG is a similar triangle CFE, so CF/CD=CE/CG.
Because CE=AE and EG= 1/2AE= 1/2CE, CE/CG=2/3.
Therefore, CF/CD=2/3, DF/CD= 1/3.
Because d is the midpoint, s △ BCD =1/2s △ ABC = 21,