document.write( "Question 998544: The height of a triangle is 2 more than twice the base. The area is 20 square feet. Find the base \n" ); document.write( "
Algebra.Com's Answer #616335 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! The area of a triangle is \n" ); document.write( "A= (1/2)bh \n" ); document.write( "Since h = b+2 we can substitute and solve \n" ); document.write( "20 = (1/2)b(b+2) \n" ); document.write( "40 = b^2 + 2b \n" ); document.write( "b^2 + 2b - 40 = 0 \n" ); document.write( "Use the quadratic formula here because it is not factorable... \n" ); document.write( "b = (-2 +- sqrt(4 + 160)) / 2 \n" ); document.write( "and get \n" ); document.write( "b = (-2 +- 12.65) / 2 (must be positive here so...) \n" ); document.write( "b = (-2 + 12.65) / 2 = 5.33 or so... \n" ); document.write( " |