document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=823933>Question 823933</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square and an equilateral triangle have the same height. The square has an area of 225 feet squared. What is the area of the triangle?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #495935 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=495935\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "square:<BR>\n" );
document.write( "a = 225 = xx<BR>\n" );
document.write( "x = 15<BR>\n" );
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document.write( "triangle:<BR>\n" );
document.write( "h = 15<BR>\n" );
document.write( "s = sqrt( 15*15 + (s/2)(s/2) )<BR>\n" );
document.write( "ss = 225 + ss/4<BR>\n" );
document.write( "ss - ss/4 - 225 = 0<BR>\n" );
document.write( "4ss/4 - ss/4 - 225 = 0<BR>\n" );
document.write( "3ss/4 - 225 = 0<BR>\n" );
document.write( "0.75ss - 225 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=0.75, b=0, and c=-225<BR>\n" );
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document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "0.75 0 -225<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "this quadratic has two real roots (the x-intercepts), which are:<BR>\n" );
document.write( "s = 17.3205081<BR>\n" );
document.write( "s = -17.3205081<BR>\n" );
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document.write( "negative length doesn't make sense for this problem, so use the positive root:<BR>\n" );
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document.write( "answer:<BR>\n" );
document.write( "triangle side = 17.3205081 ft<BR>\n" );
document.write( "triangle area = 1/2(17.3205081)(15) = 129.9 sq.ft<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
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