document.write( "Question 382070: The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side. Find the dimensions of the triangle. \n" ); document.write( "
Algebra.Com's Answer #270916 by edjones(8007) You can put this solution on YOUR website! h=a+1 \n" ); document.write( "a=h-1 \n" ); document.write( ". \n" ); document.write( "h=3b+4 \n" ); document.write( "3b=h-4 \n" ); document.write( "b=(h-4)/3 \n" ); document.write( ". \n" ); document.write( "a^2+b^2=h^2 \n" ); document.write( "(h-1)^2+((h-4)/3)^2=h^2 \n" ); document.write( "h^2-2h+1+(h^2-8h+16)/9=h^2 \n" ); document.write( "9h^2-18h+9+h^2-8h+16=9h^2 \n" ); document.write( "h^2-26h+25=0 \n" ); document.write( "(h-25)(h-1)=0 \n" ); document.write( "h=25 \n" ); document.write( "a=24 \n" ); document.write( "b=7 \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " \n" ); document.write( " |