document.write( "Question 71280: This is another quadratic based question that I have in which I have NO idea how to format it. Please HELP!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Find the dimensions of a triangle whose area is 42 square centimeters and whose base and height together measure 19 centimeters.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I am sooo totally lost. I appreciate your help \n" ); document.write( "
Algebra.Com's Answer #51046 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Find the dimensions of a triangle whose area is 42 square centimeters and whose base and height together measure 19 centimeters.
\n" ); document.write( ":
\n" ); document.write( "We know the area of a triangle: A = .5*b*h
\n" ); document.write( "Let x = the base
\n" ); document.write( ":
\n" ); document.write( "Remember it said,\"base and height together measure 19 centimeters.\"
\n" ); document.write( "Therefore the height = (19-x);
\n" ); document.write( ":
\n" ); document.write( ".5*b*h = 42
\n" ); document.write( ".5*x*(19-x) = 42
\n" ); document.write( ":
\n" ); document.write( "Get rid of the fraction, mult equation by 2:
\n" ); document.write( "x(19-x) = 84
\n" ); document.write( "19x - x^2 = 84
\n" ); document.write( ":
\n" ); document.write( "Arrange as a quadratic equation (subtract 84 from both sides):
\n" ); document.write( "-x^2 + 19x - 84 = 0
\n" ); document.write( ";
\n" ); document.write( "It easier to factor if the coefficient of x^2 is +1, mult eq by -1:
\n" ); document.write( "+x^2 - 19x + 84 = 0
\n" ); document.write( ":
\n" ); document.write( "Factors to:
\n" ); document.write( "(x-7)(x-12) = 0
\n" ); document.write( ":
\n" ); document.write( "x = 7 and x = 12; either is a good solution
\n" ); document.write( ":
\n" ); document.write( "If the base is 7, the height is 12
\n" ); document.write( "or
\n" ); document.write( "If the base is 12, the height is 7
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check area using our solutions: .5*7*12 = 42
\n" ); document.write( ":
\n" ); document.write( "Did this help you find your way? \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );