MathDB

Given is a triangle

ABC

and points

D

and

E

, respectively on

] BC [

and

] AB [

F

it is intersection of lines

AD

and

CE

. We denote as

| CD | = a, | BD | = b, | DF | = c

and

| AF | = d

. Determine the ratio

\frac{| BE |}{|AE |}

in terms of

a, b, c

and

d

https://cdn.artofproblemsolving.com/attachments/5/7/856c97045db2d9a26841ad00996a2b809addaa.png

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