document.write( "Question 579130: The front of a house is the shape of a triangle. Suppose the base of the triangle is 1m less than its height and the area of the triangle is 15m^2, Find the height of the triangle. (Hint: Use A=1/2bh.) \n" ); document.write( "
Algebra.Com's Answer #370861 by mananth(16946)![]() ![]() You can put this solution on YOUR website! height =x \n" ); document.write( "base = (x-1)\r \n" ); document.write( "\n" ); document.write( "Area = 1/2 * bases * height\r \n" ); document.write( "\n" ); document.write( "15 = 1/2 * x(x-1) \n" ); document.write( "multiply by 2 \n" ); document.write( "30 = x(x-1) \n" ); document.write( "30= x^2-x\r \n" ); document.write( "\n" ); document.write( "x^2-x-30=0\r \n" ); document.write( "\n" ); document.write( "x^2-6x+5x-30=0\r \n" ); document.write( "\n" ); document.write( "x(x-6)+5(x-6)=0 \n" ); document.write( "(x-6)(x+5)=0\r \n" ); document.write( "\n" ); document.write( "x=6 OR -5\r \n" ); document.write( "\n" ); document.write( "ignore the negative \n" ); document.write( "height = 6 m \n" ); document.write( "base = 5 m \n" ); document.write( " |