Question

In the diagram below, GD = 10.1,EF 28.1, and EG 16.9. Find the length==of FC. Round your answer to the nearest tenthif necessary.

Answer 1

In the figure;

`\begin{gathered} (EG)/(EF)=(ED)/(EC) \\ \\ EG=16.9,ED=27,EF=28.1 \end{gathered}`

Thus;

`\begin{gathered} (16.9)/(28.1)=(27)/(EC) \\ \\ EC=44.9 \end{gathered}`

Thus;

`\begin{gathered} FC=EC-EF \\ \\ FC=44.9-28.1 \\ \\ FC=16.8 \end{gathered}`