document.write( "Question 316327: The base of a triangle is 8 cm greater than the height. The area is 42 cm^2. Find the height and the length of the base. I need help with this please. Thank you. \n" ); document.write( "
Algebra.Com's Answer #226294 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let thge height be x \n" ); document.write( "the base = x+8 \n" ); document.write( "Area of trangle = 1/2 * base * height \n" ); document.write( "1/2 * x*(x+8) = 42 \n" ); document.write( "1/2 (x^2+8x)=42 \n" ); document.write( "multiply equation by 2 \n" ); document.write( "x^2+8x=42*2 \n" ); document.write( "x^2+8x=84 \n" ); document.write( "x^2+8x-84=0 \n" ); document.write( "x^2+14x-6x-84=0 \n" ); document.write( "x(x+14)-6(x+14)=0 \n" ); document.write( "(x-6)(x+14)=0 \n" ); document.write( "x=6 OR x= -14\r \n" ); document.write( "\n" ); document.write( "x=6 is the height \n" ); document.write( "base = x+8 = 6+8 =14 \n" ); document.write( " |