document.write( "Question 856397: the base of a triangle is two m less thsn twice its height find the length of the base and the height given that the area of thr triangles is 56 sq m \n" ); document.write( "
Algebra.Com's Answer #515911 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
height = x
\n" ); document.write( "base = 2x-2\r
\n" ); document.write( "\n" ); document.write( "Area of triangle = 1/2 * base * height\r
\n" ); document.write( "\n" ); document.write( "56 = 1/2 * x * 2(x-1)\r
\n" ); document.write( "\n" ); document.write( "56=x(x-1)\r
\n" ); document.write( "\n" ); document.write( "56=x^2-x\r
\n" ); document.write( "\n" ); document.write( "x^2-x-56=0\r
\n" ); document.write( "\n" ); document.write( "x^2-8x+7x-56=0\r
\n" ); document.write( "\n" ); document.write( "x(x-8)+7(x-8)=0\r
\n" ); document.write( "\n" ); document.write( "(x-8)(x+7)=0\r
\n" ); document.write( "\n" ); document.write( "take positive value.
\n" ); document.write( "x= 8\r
\n" ); document.write( "\n" ); document.write( "height = 8 m
\n" ); document.write( "base = 2x-2 = 14 m
\n" ); document.write( "
\n" );