document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=638391>Question 638391</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Side a of the right triangle measures 4 cm. Side b measures 3 cm. What is side c?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #402167 by </B><A HREF=/tutors/aboutme.mpl?userid=josh_jordan><B>josh_jordan(263)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josh_jordan><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=josh_jordan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=402167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We will solve this problem using the Pythagorean Theorem, which states that:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, given that a = 4cm and b = 3 cm, we will substitute our letters for the corresponding numbers:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E2+%2B+3%5E2+=+c%5E2 ALIGN=MIDDLE  ALT=\"4%5E2+%2B+3%5E2+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This equals:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+%2B+9+=+c%5E2 ALIGN=MIDDLE  ALT=\"16+%2B+9+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Adding 16 and 9, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25+=+c%5E2 ALIGN=MIDDLE  ALT=\"25+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We now know what <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2 ALIGN=MIDDLE  ALT=\"c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > equals, but we need to know what c equals.  To find out, we have to do the opposite of what's being done to c.  C is being squared, and the opposite of a square is a square root.  So, we will 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=sqrt%2825%29+=+sqrt%28c%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%29+=+sqrt%28c%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which gives us our final answer:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+=+c ALIGN=MIDDLE  ALT=\"5+=+c\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so side C of our triangle is 5cm </SPAN>\n" );
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