document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=816341>Question 816341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle is drawn so the width is 71 inches longer than the height. If the rectangle's diagonal measurement is 85 inches, find the height.\r<BR>\n" );
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document.write( "Give your answer rounded to 1 decimal place.<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 #491501 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=491501\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> w = h + 71<BR>\n" );
document.write( "d = 85 = sqrt( ww + hh )<BR>\n" );
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document.write( "85 = sqrt( ww + hh )<BR>\n" );
document.write( "85^2 = ww + hh<BR>\n" );
document.write( "85^2 = (h + 71)(h + 71) + hh<BR>\n" );
document.write( "85^2 = hh + 142h + 71^2 + hh<BR>\n" );
document.write( "2h^2 + 142h + 71^2 - 85^2 = 0<BR>\n" );
document.write( "2h^2 + 142h - 2184 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=2, b=142, and c=-2184<BR>\n" );
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document.write( "to solve the quadratic equation, plug this:<BR>\n" );
document.write( "2 142 -2184<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "the roots of the quadratic are:<BR>\n" );
document.write( "h = 13<BR>\n" );
document.write( "h = -84<BR>\n" );
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document.write( "the negative root doesn't make sense for a length, so use the positive root<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "h = 13 in<BR>\n" );
document.write( "w = 84 in<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
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document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
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document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
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document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
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