document.write( "Question 1179836: The height of a triangle is 4 m more than twice the length of the base. The area of the triangle is 35 m^2. Find the height of the triangle. \n" ); document.write( "
Algebra.Com's Answer #809419 by mananth(16946)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "The height of a triangle is 4 m more than twice the length of the base. The area of the triangle is 35 m^2. Find the height of the triangle.\r \n" ); document.write( "\n" ); document.write( "Let length of the base = x m \n" ); document.write( "Height = 2x+4 m \n" ); document.write( "area =35\r \n" ); document.write( "\n" ); document.write( "Area of triangle = 1/2 * x * (2x+4)\r \n" ); document.write( "\n" ); document.write( " 35= 1/2 * x * (2x+4) \n" ); document.write( "70 = 2x^2 +4x\r \n" ); document.write( "\n" ); document.write( "2x^2+4x-70 =0\r \n" ); document.write( "\n" ); document.write( "/2 \n" ); document.write( "x^2+2x-35=0\r \n" ); document.write( "\n" ); document.write( "(x+7)(x-5)=0\r \n" ); document.write( "\n" ); document.write( "x=-7, or x=5 \n" ); document.write( "omit negative\r \n" ); document.write( "\n" ); document.write( "base = 5m\r \n" ); document.write( "\n" ); document.write( "height ===>2x+4 ===>14 m \n" ); document.write( " |