document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79658>Question 79658</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618558845/algebrahomeworkh>geometry reasoning</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Two sides of a triangle have lengths 6 and 8. What lengths are possible for the third side? Explain. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57157 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=57157\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the triangle is a right triangle (it has a 90 degree angle), then we can use Pythagoreans theorem to solve for the third side:\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=find_hypotenuse_by_two_sides.solver>FIND hypotenuse by two sides</A></TD></TR>\n" );
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document.write( "As we know from pythagorean theorem, length of hypoenuse c and sides are related as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "So, side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=sqrt%28+a%5E2%2Bb%5E2+%29+=+sqrt%28+6%5E2+%2B+8%5E2+%29+=+10 ALIGN=MIDDLE  ALT=\"c=sqrt%28+a%5E2%2Bb%5E2+%29+=+sqrt%28+6%5E2+%2B+8%5E2+%29+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the third side is 10 </SPAN>\n" );
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