document.write( "Question 233809: a lot is in the shape of a right triangle. The hypotenuse is 3m longer than the longer leg. The longer leg is 6m longer than twice the length of the shorter leg. Find the perimeter. \n" ); document.write( "
Algebra.Com's Answer #172526 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! C=B+3 OR B=C-3 \n" ); document.write( "B=2A+6 \n" ); document.write( "C-3=2A+6 \n" ); document.write( "C=2A+9 \n" ); document.write( "A^2+B^2=C^2 \n" ); document.write( "A^2+(2A+6)^2=(2A+9)^2 \n" ); document.write( "A^2+4A^2+24A+36=4A^2+36A+81 CANCEL OUT THE 4X^2 TERMS & COMBINE LIKE TERMS: \n" ); document.write( "A^2+24A-36A+36-81=0 \n" ); document.write( "A^2-12A-45=0 FACTOR THE EUATION. \n" ); document.write( "(A-15)(A+3)=0 \n" ); document.write( "A-15=0 \n" ); document.write( "A=15 ANS. FOR THE SHORT LEG. \n" ); document.write( "B=2*15+6=30+6=36 ANS. FOR THE LONG LEG. \n" ); document.write( "C=36+3=39 \n" ); document.write( "FOR THE HYPOTENUSE. \n" ); document.write( "PROOF: \n" ); document.write( "15^2+36^2=39^2 \n" ); document.write( "225+1296=1521 \n" ); document.write( "1521=1521 \n" ); document.write( "THEREFORE THE PERIMETER=15+36+39=90 m. \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |