document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84072>Question 84072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the missing side of the triangle. Give your answer as a simplified radical.\r<BR>\n" );
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document.write( " \"5^2+b^2=10^2\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60518 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=60518\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since we have a triangle with legs of 5 , x(our unknown side) and a hypotenuse of 10, we can use Pythagoreans theorem to find the unknown side.\r<BR>\n" );
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document.write( "Pythagoreans theorem<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   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=5%5E2%2Bb%5E2=10%5E2 ALIGN=MIDDLE  ALT=\"5%5E2%2Bb%5E2=10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Plug in a=5 and c=10 and lets solve for b\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+5+%2B++b++%5E+2+=+1+0+0 ALIGN=MIDDLE  ALT=\"2+5+%2B++b++%5E+2+=+1+0+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square each individual term\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b++%5E+2+=+1+0+0+-+2+5 ALIGN=MIDDLE  ALT=\"+b++%5E+2+=+1+0+0+-+2+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 25 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b++%5E+2+=+7+5 ALIGN=MIDDLE  ALT=\"+b++%5E+2+=+7+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+q+r+t+%28++b++%5E+2+%29+=+s+q+r+t+%28+7+5+%29 ALIGN=MIDDLE  ALT=\"s+q+r+t+%28++b++%5E+2+%29+=+s+q+r+t+%28+7+5+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+s+q+r+t+%28+7+5+%29 ALIGN=MIDDLE  ALT=\"b+=+s+q+r+t+%28+7+5+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%2825%2A3%29 ALIGN=MIDDLE  ALT=\"b=sqrt%2825%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor 75 into 25*3<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%2825%29%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"b=sqrt%2825%29%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the square roots using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=5%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"b=5%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of the perfect square 25 to get 5 <BR>\n" );
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document.write( "So our answer is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=5%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"b=5%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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