SOLUTION: In triangle ACD, E is a point on segment AD and B is a point on segment AC , such that segment EB is parallel to segment DC. If AE = 3, ED = 6, and DC = 15, find the length of se

Algebra ->  Circles -> SOLUTION: In triangle ACD, E is a point on segment AD and B is a point on segment AC , such that segment EB is parallel to segment DC. If AE = 3, ED = 6, and DC = 15, find the length of se      Log On


   



Question 271016: In triangle ACD, E is a point on segment AD and B is a point on segment AC , such that segment EB is parallel to segment DC.
If AE = 3, ED = 6, and DC = 15, find the length of segment EB.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If my intrepretation is correct, my drawing indicates that you have two similar triangles: ACD and ABE, so...
AE%2FAD+=+EB%2FDC Substitute AE+=+3,AD+=+9, and DC+=+15
3%2F9+=+EB%2F15
EB+=+3%2815%29%2F9
highlight%28EB+=+5%29