document.write( "Question 1189474: In the diagram below, what is the distance from Point E to Point F In meters\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Diagram: https://imgur.com/a/1ywHrcW
\n" ); document.write( "

Algebra.Com's Answer #820836 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "All four triangles are similar, because they are right triangles which have acute angles that are congruent. So

\n" ); document.write( "BF/BC=BC/BD

\n" ); document.write( "Given BC=40 and CD=9, we can determine BD=41. Then in similar triangles BFC and BCD

\n" ); document.write( "BF/BC=BC/BD
\n" ); document.write( "BF/40=40/41
\n" ); document.write( "BF=(40/41)*40

\n" ); document.write( "That makes FD=(1/41)*40.

\n" ); document.write( "Next, BE and FD are the same length, so

\n" ); document.write( "EF = (39/41)*40

\n" ); document.write( "ANSWER: BF=1560/41
\n" ); document.write( "
\n" );