document.write( "Question 762249: The base of a triangle is 10 cm greater than the height. The area is 28 cm^2. Find the height and base. \n" ); document.write( "
Algebra.Com's Answer #463791 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Height = x \n" ); document.write( "Base = x + 10 \n" ); document.write( "Area of triangle = 1/2(base*height) \n" ); document.write( " 28 = 1/2((x + 10)*x) \n" ); document.write( " 28 =1/2(x^2 + 10x) \n" ); document.write( " 56 = x^2 + 10x \n" ); document.write( " x^2 + 10x - 56 = 0 \n" ); document.write( " (x - 4)(x + 14) = 0 \n" ); document.write( "x = -14 (No answer) \n" ); document.write( "x = 4 \n" ); document.write( "Height = 4cm \n" ); document.write( "Base = 14cm \n" ); document.write( " |