document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=266645>Question 266645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a triangle is 10cm wider that it is tall, the area is 28cm squared. find the height and base </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195889 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=195889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the height = h.<BR>\n" );
document.write( "base = h + 10<BR>\n" );
document.write( "area = 28<BR>\n" );
document.write( "---<BR>\n" );
document.write( "The area of a triangle has the formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281%2F2%29bh ALIGN=MIDDLE  ALT=\"A+=+%281%2F2%29bh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---<BR>\n" );
document.write( "from the given information, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28+=+%281%2F2%29%2A%28h%29%2A%28h%2B10%29 ALIGN=MIDDLE  ALT=\"28+=+%281%2F2%29%2A%28h%29%2A%28h%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by 2 to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56+=+h%28h%2B10%29 ALIGN=MIDDLE  ALT=\"56+=+h%28h%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "distribute to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56+=+h%5E2+%2B+10h ALIGN=MIDDLE  ALT=\"56+=+h%5E2+%2B+10h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "set = 0 to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+h%5E2+%2B+10h+-+56 ALIGN=MIDDLE  ALT=\"0+=+h%5E2+%2B+10h+-+56\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "factor to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+%28h%2B14%29%28h-4%29 ALIGN=MIDDLE  ALT=\"0+=+%28h%2B14%29%28h-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solving we get<BR>\n" );
document.write( "h = -14<BR>\n" );
document.write( "and<BR>\n" );
document.write( "h = 4<BR>\n" );
document.write( "we can't use the -14, so our only answer is<BR>\n" );
document.write( "h = 4 cm </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );