document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=525402>Question 525402</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the diagonal of a square is the square root of 15. what is the perimeter of the square? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348090 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=348090\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The diagonal of a square is the hypotenuse of a right triangle.<BR>\n" );
document.write( "Applying the Pythagorean formula...<BR>\n" );
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document.write( "15 = a^2 + b^2<BR>\n" );
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document.write( "Since it is a square, we know that a=b<BR>\n" );
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document.write( "15 = 2a^2<BR>\n" );
document.write( "a^2 = 7.5<BR>\n" );
document.write( "a = sqrt(7.5)<BR>\n" );
document.write( "a = 2.738612787525831<BR>\n" );
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document.write( "So the sides are 2.738612787525831.<BR>\n" );
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document.write( "The perimeter = 4*2.738612787525831 = 10.95445115010332<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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