document.write( "Question 206886: I'm having trouble understanding this statement: If triangle ABC is similar to triangle DEF
\n" ); document.write( "AB=4, BC=8, AC=11
\n" ); document.write( "DE=10, EF=20, DF=n Solve for n.\r
\n" ); document.write( "\n" ); document.write( "I know the perimeter of a triangle is P=a+b+c but I can't seem to solve for n. It's like there are 2 unknowns. Can you please let me know what I am doing wrong. Thank-you!
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Algebra.Com's Answer #156378 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Edwin's solution:
\n" ); document.write( "I'm having trouble understanding this statement: If triangle ABC is similar to triangle DEF
\n" ); document.write( "AB=4, BC=8, AC=11
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\n" ); document.write( "\n" ); document.write( "I know the perimeter of a triangle is P=a+b+c but I can't seem to solve for n. It's like there are 2 unknowns. Can you please let me know what I am doing wrong. Thank-you!\r
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document.write( "You're supposed to do this by proportions:\r\n" );
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document.write( "      (DF is to AC) as (DE is to AB) as (EF is to BC)\r\n" );
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document.write( "Write the proportion as an equation:\r\n" );
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document.write( "            \"DF%2FAC+=+DE%2FAB+=+EF%2FBC\"\r\n" );
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document.write( "Substitute their lengths:\r\n" );
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document.write( "            \"n%2F11+=+10%2F4+=+20%2F8\"\r\n" );
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document.write( "Reducing the fractions:\r\n" );
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document.write( "            \"n%2F11+=+5%2F2+=+5%2F2\"\r\n" );
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document.write( "            \"n%2F11+=+5%2F2\"\r\n" );
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document.write( "Cross multiply:\r\n" );
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document.write( "            \"2n=55\"\r\n" );
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document.write( "            \"n=55%2F2=27%261%2F2\"\r\n" );
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document.write( "Edwin
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