document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169784>Question 169784</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If ine side of a right triangle is 12 and its hypotenuse is 13, what is the length of the other side? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125190 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><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=125190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help,<BR>\n" );
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document.write( "If one side of a right triangle is 12 and its hypotenuse is 13, what is the length of the other side?<BR>\n" );
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document.write( "The formula to find the Hypotenuse or sides is <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;\" >, where \"a\" and \"b\" are the sides, and \"c\" is the hypotenuse<BR>\n" );
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document.write( "We can replace \"c\" with the length of the hypotenuse (13), and we can replace \"a\" or \"b\" with \"12\" ( we will replace \"a\" )<BR>\n" );
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document.write( "a = 12<BR>\n" );
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document.write( "b = unknown<BR>\n" );
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document.write( "c = 13<BR>\n" );
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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;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2812%29%5E2%2Bb%5E2=%2813%29%5E2+ ALIGN=MIDDLE  ALT=\"+%2812%29%5E2%2Bb%5E2=%2813%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+144%2Bb%5E2=169+ ALIGN=MIDDLE  ALT=\"+144%2Bb%5E2=169+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will now move \"144\" to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+144%2Bb%5E2=169+ ALIGN=MIDDLE  ALT=\"+144%2Bb%5E2=169+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+144-144%2Bb%5E2=169-144+ ALIGN=MIDDLE  ALT=\"+144-144%2Bb%5E2=169-144+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E2=25+ ALIGN=MIDDLE  ALT=\"+b%5E2=25+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, now we just take the square root of both sides<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E2=25+ ALIGN=MIDDLE  ALT=\"+b%5E2=25+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28b%5E2%29=sqrt%2825%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28b%5E2%29=sqrt%2825%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+5+ ALIGN=MIDDLE  ALT=\"+b+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-5+ ALIGN=MIDDLE  ALT=\"+b+=+-5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Since lengths cannot be nagative, the length of the other side is \"5\"<BR>\n" );
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document.write( "You can check by replacing \"b\" with \"5\" in the equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+144%2Bb%5E2=169+ ALIGN=MIDDLE  ALT=\"+144%2Bb%5E2=169+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+144%2B%285%29%5E2=169+ ALIGN=MIDDLE  ALT=\"+144%2B%285%29%5E2=169+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+144%2B25=169+ ALIGN=MIDDLE  ALT=\"+144%2B25=169+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+169+=+169+ ALIGN=MIDDLE  ALT=\"+169+=+169+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (True)<BR>\n" );
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document.write( "The length of the other side is \"5\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+ ALIGN=MIDDLE  ALT=\"+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is your answer<BR>\n" );
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document.write( "Hope I helped, Levi </SPAN>\n" );
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