document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186533>Question 186533</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131808699/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> For right triangle, denote lengths as follows: l1 and l2 the legs, h the hypotenuse, and h1 and h2 the hypotenuse segments determined by the bisector of the right angle. For the two given measures, find the other three to the nearest tenth.\r<BR>\n" );
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document.write( "h1=4, h2=9\r<BR>\n" );
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document.write( "I know that h = 4+9 = 13. I was trying to use the Triangle Angle Bisector Theorem but I don't seem to have enough information. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139774 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=139774\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The Triangle Angle Bisector Theorem is exactly what you need, and gives you plenty of information.\r<BR>\n" );
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document.write( "Using the theorem, you can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \frac{l_1}{4}=\frac{l_2}{9}\">\r<BR>\n" );
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document.write( "Cross-multiplying gives you:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 9l_1 = 4l_2 \ \ \Rightarrow\ \ l_1 = \frac{4}{9}l_2\">\r<BR>\n" );
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document.write( "Now you can substitute in\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ l_1^2 + l_2^2 = 13^2\">\r<BR>\n" );
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document.write( "To get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(\frac{4}{9}l_2\right)^2 + l_2^2 = 169\">\r<BR>\n" );
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document.write( "I'll leave the rest of the arithmetic to you.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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