document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515129>Question 515129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In right triangle ABC, the measure of angle A is 45°. If the hypotenuse of the triangle has length 5, what is the length of segment BC?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343754 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=343754\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The triangle ABC is an isosceles right triangle this means that the legs are equal<BR>\n" );
document.write( "Using the Pythagorean theorem we write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%5E2=5%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2=5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > where x is the length of each leg. Solving the equation we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2=25 ALIGN=MIDDLE  ALT=\"2x%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=25%2F2 ALIGN=MIDDLE  ALT=\"x%5E2=25%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%2825%2F2%29 ALIGN=MIDDLE  ALT=\"x=sqrt%2825%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"x=5%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rationalizing the denominator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5%2Asqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"x=5%2Asqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer: The length of segment BC is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"5%2Asqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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