document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044784>Question 1044784</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help i don't know how to solve Problem Solving like this :(<BR>\n" );
document.write( "The base of an isosceles triangle is 8 m more than its altitude. If its area is 192 m^2, find the length of its sides. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660169 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=660169\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "Area of a triangle is = 1/2(base x height)<BR>\n" );
document.write( "Make height (altitude) = x<BR>\n" );
document.write( "Base = x + 8<BR>\n" );
document.write( "Area = 1/2(base x altitude)<BR>\n" );
document.write( "192 = 1/2(x(x + 8))<BR>\n" );
document.write( "192 = 1/2(x^2 + 8x)<BR>\n" );
document.write( "Multiply both sides by 2<BR>\n" );
document.write( "384 = x^2 + 8x<BR>\n" );
document.write( "Rearrange into ax^2 + bx + c form<BR>\n" );
document.write( "x^2 + 8x - 384 = 0<BR>\n" );
document.write( "Factorise<BR>\n" );
document.write( "(x - 16)(x + 24) = 0<BR>\n" );
document.write( "x + 24 = x = -24 (discount as -ve)<BR>\n" );
document.write( "x - 16 = 0<BR>\n" );
document.write( "x = 16<BR>\n" );
document.write( "Altitude = 16 m<BR>\n" );
document.write( "Base = 24 m<BR>\n" );
document.write( "........<BR>\n" );
document.write( "Now we can work out the size of the two <BR>\n" );
document.write( "equal sides by dividing the base of 24 m<BR>\n" );
document.write( "into 2 lots of 12 m.<BR>\n" );
document.write( "We now have a right angled triangle<BR>\n" );
document.write( "with base of 12 m and an upright of<BR>\n" );
document.write( "16 m.<BR>\n" );
document.write( "To find the hypotenuse we use Pythagoras' Theorem.<BR>\n" );
document.write( "Namely:- Hypotenuse^2 = 12^2 + 16^2<BR>\n" );
document.write( "Hypotenuse = &#8730;144 + 256<BR>\n" );
document.write( "Hypotenuse = &#8730;400<BR>\n" );
document.write( "Hypotenuse = 20 m<BR>\n" );
document.write( ".............<BR>\n" );
document.write( "Two equal sides = 20 m<BR>\n" );
document.write( "Base = 24 m<BR>\n" );
document.write( "Hope this helps :-)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );