document.write( "Question 275500: the perimeter of a right triangle is 90 feet. the ratio of the legs is 6:8. what is the length of the longest leg of the triangle \n" ); document.write( "
Algebra.Com's Answer #200976 by checkley77(12844) ![]() You can put this solution on YOUR website! Seeing as you have a right triangle with 2 sides=6 & 8 then: \n" ); document.write( "6^2+8^2=c^2 \n" ); document.write( "36+64=c^2 \n" ); document.write( "100=c^2 \n" ); document.write( "c^2=100 \n" ); document.write( "c=sqrt100 \n" ); document.write( "c=10 \n" ); document.write( "Therefore: \n" ); document.write( "6n+8n+10n=90 [n=the ratio multiplier] \n" ); document.write( "24n=90 \n" ); document.write( "n=90/24 \n" ); document.write( "n=3.75 this is the multiplier for the ratio values. \n" ); document.write( "6*3.75=22.5 \n" ); document.write( "8*3.75=30 \n" ); document.write( "10*3.75=37.5 \n" ); document.write( "Proof: \n" ); document.write( "22.5+30+37.5=90 \n" ); document.write( "90=90\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |