document.write( "Question 423680: A triangle sail has an area of 76 square feet. Find the base and the height if the height measure is three more than twice the base. (use formula A= 1/2 bh) \n" ); document.write( "
Algebra.Com's Answer #295465 by mananth(16946)![]() ![]() You can put this solution on YOUR website! base == b \n" ); document.write( "h= 3+2b \n" ); document.write( "76 = 1/2 *b*(3+2b) \n" ); document.write( "152= 3b+2b^2 \n" ); document.write( "2b^2+3b-152=0 \n" ); document.write( "2b^2+19b-16b-152=0 \n" ); document.write( "2b(b+9.5)-16(b+9.5)=0 \n" ); document.write( "(b+9.5)(2b-16)=0 \n" ); document.write( "2(b+9.5)(b-8)=0 \n" ); document.write( "so b= 8 which is positive.\r \n" ); document.write( "\n" ); document.write( "base = 8 ft \n" ); document.write( "and height = 3+2b= 19 ft \n" ); document.write( " |