document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=430037>Question 430037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of an isosceles right triangle can never be a whole number. is that true? Explain. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #298647 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=298647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> No. Consider the (perimeter) function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%28x%29+=+2x+%2B+x%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"p%28x%29+=+2x+%2B+x%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where x is the length of a leg. This is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%28x%29+=+x%282+%2B+sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"p%28x%29+=+x%282+%2B+sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is linear. The linear function is defined on all positive real numbers, and its range is all real numbers, including integers. Hence, it is possible for the perimeter to be an integer (for example, replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1%2F%282+%2B+sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"x+=+1%2F%282+%2B+sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you will find that the perimeter is 1). </SPAN>\n" );
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