document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945833>Question 945833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a right triangle with an area of 30 square cm has a hypotenuse that is 8 cm longer than the shortest side. Find the dimensions of the triangle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #577015 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=577015\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> h = s + 8<BR>\n" );
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document.write( "a = bh/2<BR>\n" );
document.write( "a = sh/2<BR>\n" );
document.write( "30 = s(s + 8)/2<BR>\n" );
document.write( "s(s + 8) = 30*2<BR>\n" );
document.write( "ss + 8s = 60<BR>\n" );
document.write( "ss + 8s - 60 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=1, b=8 and c=-60<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( "1 8 -60<BR>\n" );
document.write( "into this solver: http://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "the quadratic has two real roots at:<BR>\n" );
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document.write( "s = 4.71779789<BR>\n" );
document.write( "s = -12.7177979<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the negative root doesn't fit the problem statement, so use the positive root:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "s = 4.71779789<BR>\n" );
document.write( "h = s + 8<BR>\n" );
document.write( "h = 12.71779789<BR>\n" );
document.write( "h = sqrt( ss + bb )<BR>\n" );
document.write( "hh = ss + bb<BR>\n" );
document.write( "bb = hh - ss<BR>\n" );
document.write( "b = sqrt( hh - ss )<BR>\n" );
document.write( "b = sqrt( 12.71779789*12.71779789 - 4.71779789*4.71779789 )<BR>\n" );
document.write( "sqrt( 12.71779789*12.71779789 - 4.71779789*4.71779789 )<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above expression in to this calculator:<BR>\n" );
document.write( "http://sooeet.com/math/scientific-calculator.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "b = 11.8103668969<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "s = 4.71779789 cm<BR>\n" );
document.write( "b = 11.8103669 cm<BR>\n" );
document.write( "h = 12.7177979 cm<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Free algebra tutoring live chat:<BR>\n" );
document.write( "http://sooeet.com/chat.php?gn=algebra<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "http://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations with quadratic formula:<BR>\n" );
document.write( "http://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( "http://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "--- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );