document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167042>Question 1167042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a rectangle is drawn so the width is 9 inches longer than the height. If the rectangle's diagonal measurement is 45 inches, find the height </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #791613 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=791613\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The side lengths are x and x+9.<br><BR>\n" );
document.write( "Two sides and the diagonal form a right triangle.  Solve using the Pythagorean Theorem.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28x%2B9%29%5E2+=+45%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%2B9%29%5E2+=+45%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%5E2%2B18x%2B81+=+2025 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2%2B18x%2B81+=+2025\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B18x-1944+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B18x-1944+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B9x-972+=+0 ALIGN=MIDDLE  ALT=\"x%5E2%2B9x-972+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve by factoring, or using the quadratic formula, or with a graphing calculator....<br><BR>\n" );
document.write( "If a formal algebraic solution is not required, the solution can be found quickly knowing that the side lengths are integers -- so the three side lengths are a Pythaogrean Triple.<br><BR>\n" );
document.write( "The smallest Pythagorean Triple is 3-4-5.  Since the diagonal of the rectangle (hypotenuse of the right triangle) is 45, try 27-36-45 for the side lengths of the triangle.<br><BR>\n" );
document.write( "Those side lengths satisfy the conditions of the problem....<br><BR>\n" );
document.write( "ANSWER: The height is 27; the width is 36.<br><BR>\n" );
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