document.write( "Question 199413: One leg of a right triangle is 2 ft more than twice the other leg. The hypotenuse is 1 ft. more than the longer leg. Find the length of the hypotenuse of the right triangle. \n" ); document.write( "
Algebra.Com's Answer #149959 by edjones(8007)![]() ![]() You can put this solution on YOUR website! Let a=longer leg, b=shorter, c=hypotenuse. \n" ); document.write( "a=2b+2 \n" ); document.write( "c=a+1 \n" ); document.write( "c=2b+2+1 \n" ); document.write( "a^2+b^2=c^2 \n" ); document.write( "(2b+2)^2+b^2=(2b+3)^2 \n" ); document.write( "4b^2+8b+4+b^2=4b^2+12b+9 \n" ); document.write( "b^2-4b-5=0 Subtract the right side from the left \n" ); document.write( "(b-5)(b+1)=0 \n" ); document.write( "b=5' \n" ); document.write( "a=12' \n" ); document.write( "c=13' \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " |