document.write( "Question 460226: A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 5 cm more than the shorter leg and the hypotenuse 10 cm more than the shorter leg. How long should the sides of the triangle be \n" ); document.write( "
Algebra.Com's Answer #315712 by checkley79(3341)![]() ![]() ![]() You can put this solution on YOUR website! A=B+5 \n" ); document.write( "C=B+10 \n" ); document.write( "A^2+B^2=C^2 \n" ); document.write( "(B+5)^2+B^2=(B+10)^2 \n" ); document.write( "B^2+10B+25+B^2=B^2+20B+100 \n" ); document.write( "2B^2-B^2+10B-20B+25-100=0 \n" ); document.write( "B^2-10B-75=0 \n" ); document.write( "(B-15)(B+5)=0 \n" ); document.write( "B-15=0 \n" ); document.write( "B=15 ANS. FOR THE SHORTER LEG. \n" ); document.write( "A=15+5=20 ANS. FOR THE LONGER LEG. \n" ); document.write( "C=15+10=25 ANS. FOR THE HYPOTENUSE. \n" ); document.write( "PROOF: \n" ); document.write( "20^2+15^2=25^2 \n" ); document.write( "400+225=625 \n" ); document.write( "625=625 \n" ); document.write( " \n" ); document.write( " |