document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156961>Question 156961</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a question from a worksheet - not a text book.  Find the length of one side of the square when the hypotenuse is sqrt50.  Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115750 by </B><A HREF=/tutors/aboutme.mpl?userid=midwood_trail><B>midwood_trail(310)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=midwood_trail><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=115750\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a question from a worksheet - not a text book.  Find the length of one side of the square when the hypotenuse is sqrt50.  Thank you!\r<BR>\n" );
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document.write( "Let x = side of square\r<BR>\n" );
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document.write( "A square has the same length all around.\r<BR>\n" );
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document.write( "The hypotenuse is the diagonal distance in a square.\r<BR>\n" );
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document.write( "So, we now use the Pythagorean Theorem.\r<BR>\n" );
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document.write( "x^2 + x^2 = (sqrt{50])^2\r<BR>\n" );
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document.write( "On the right side, we have a square root.  When we square a square root, the radical symbol vanishes. In this case, the radical symbol vanishes leaving us with 50 on the right side.\r<BR>\n" );
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document.write( "2x^2 = 50\r<BR>\n" );
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document.write( "Divide both sides by 2.\r<BR>\n" );
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document.write( "x^2 = 50/2\r<BR>\n" );
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document.write( "x^2 = 25\r<BR>\n" );
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document.write( "To find x, take the square root of both sides of the equation.\r<BR>\n" );
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document.write( "The square root of x^2 = x.\r<BR>\n" );
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document.write( "The square root of 25 is 5.\r<BR>\n" );
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document.write( "When we take the square root, there are two possible answers.\r<BR>\n" );
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document.write( "In this case, x = 5 and x = -5.\r<BR>\n" );
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document.write( "However, since we are dealing with length, REJECT -5 because distance cannot be negative.\r<BR>\n" );
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document.write( "The length of one side of this square is 5.\r<BR>\n" );
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document.write( "Did you follow?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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