Question

If ABC - ADEF, find the length EF. A D 8 24 3 6

Answer 1

We have similar triangles. we can use the ratio of proportional sides to find the missing sides

AB DE

----- = --------

BC EF

8 24

---- = ------

6 EF

Using cross products

8 * EF = 24*6

Divide each side by 8

ER = 24*6/8

EF =18