document.write( "Question 1189474: In the diagram below, what is the distance from Point E to Point F In meters\r
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document.write( "Diagram: https://imgur.com/a/1ywHrcW \n" );
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Algebra.Com's Answer #820836 by greenestamps(13200)![]() ![]() 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( " |