Question

In ADEF, DE | GH. Given that FG=20, DE=49, and GH=28, find FD.

Answer 1

35

Explanation:

`\angle FGH \cong \angle FDE` and
`\angle FHG \cong \angle FED` by the corresponding angles theorem.

Therefore,
`\triangle FDE \sim \triangle FGH` by AA similarity.

Corresponding sides of similar triangles are proportional, so
`(FD)/(20)=(49)/(28) \implies FD=35`.