document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825317>Question 825317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two vertices of a right triangle are (0,1) and (0,6). The area of the triangle is 10 square units. Which point could be the third vertex 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 #497219 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=497219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This has four different possible solutions.  Try using (0,1) and (0,6) to be the segment of one of the legs.  Another point may be (a, 6), for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E0 ALIGN=MIDDLE  ALT=\"a%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Draw this so you see it.\r<BR>\n" );
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document.write( "The lengths of the two legs are:\r<BR>\n" );
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document.write( "5, and a.\r<BR>\n" );
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document.write( "The length of the hypotenuse is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%286-1%29%5E2%2B%28a-0%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%286-1%29%5E2%2B%28a-0%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%2Ba%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%2Ba%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Can we find a without using the hypotenuse?<BR>\n" );
document.write( "Area formula gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29a%2A5=10 ALIGN=MIDDLE  ALT=\"%281%2F2%29a%2A5=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%282%2F1%29%281%2F5%2910=4 ALIGN=MIDDLE  ALT=\"a=%282%2F1%29%281%2F5%2910=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "That one possible point is therefore, (4, 6). </SPAN>\n" );
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