document.write( "Question 448383: ABC is a right triangle whose hypotenuse AC is 8 inches long. Given that the area of ABC is 13.9 square inches, find the area of similar DEF whose hypotenuse DF is 20 inches long. \n" ); document.write( "
Algebra.Com's Answer #308560 by edjones(8007)![]() ![]() You can put this solution on YOUR website! .5ab=13.9 \n" ); document.write( "a=27.8/b \n" ); document.write( "a^2+b^2=8^2 \n" ); document.write( "(27.8/b)^2+b^2=64 \n" ); document.write( "(772.82/b^2)+b^2=64 \n" ); document.write( "772.82+b^4=64b^2 \n" ); document.write( "b^4-64b^2+772.82=0 \n" ); document.write( "b=4.02, a=6.92 (or vice versa) TI-89 calculator \n" ); document.write( "4.02* 20/8 = 10.05 \n" ); document.write( "6.92* 20/8 = 17.3 \n" ); document.write( ".5*10.05*17.3=86.9 in^2 \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " |