document.write( "Question 549748: The base of a triangle is 3cm greater than the height. The area is 14cm^2. Find the height & length of the base \n" ); document.write( "
Algebra.Com's Answer #358016 by mananth(16946)![]() ![]() You can put this solution on YOUR website! height = x cm \n" ); document.write( "base = x+3\r \n" ); document.write( "\n" ); document.write( "Area of triangle = 1/2 * base * height\r \n" ); document.write( "\n" ); document.write( "1/2 * x(x+3)=14\r \n" ); document.write( "\n" ); document.write( "multiply by 2 \n" ); document.write( "x^2+3x=28 \n" ); document.write( "x^2+3x-28=0 \n" ); document.write( "x^2+7x-4x-28=0 \n" ); document.write( "x(x+7)-4(x+7)=0 \n" ); document.write( "(x+7)(x-4)=0\r \n" ); document.write( "\n" ); document.write( "x=4 which is positive\r \n" ); document.write( "\n" ); document.write( "height = 4 \n" ); document.write( "base = 4+3 =7\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |