document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1004205>Question 1004205</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Problem 51: http://www.newton.k12.oh.us/Downloads/Section%205-5%20HW.pdf<BR>\n" );
document.write( "Solve the triangle. (Hint: Draw the altitude from Y)<BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "The triangle is not a right triangle.<BR>\n" );
document.write( "It has points X, Y and Z.<BR>\n" );
document.write( "The base is y.<BR>\n" );
document.write( "XY is 16, YZ is 24, and XZ is y.<BR>\n" );
document.write( "Angle X is 30 degrees.\r<BR>\n" );
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document.write( "What I've solved so far:<BR>\n" );
document.write( "Angle Y is 120 degrees<BR>\n" );
document.write( "Angle Z is 30 degrees.\r<BR>\n" );
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document.write( "Is this correct? It does not seem so...<BR>\n" );
document.write( "Thank you.\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 #620734 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=620734\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I spent a few minutes checking the drawing in your book and reading the brief instructions.  DRAW the altitude.  Doing so will give you two right triangles which share this altitude.  Keep working through and you may find expressions whose sum would be y.\r<BR>\n" );
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document.write( "Below is a precise description with some calculation, but not taken to completion.  You should be able to do so with very little trouble.\r<BR>\n" );
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document.write( "Part  of the work...<BR>\n" );
document.write( "Using the right triangle on the left side, let h be the height or altitude for BOTH triangles.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2F16=sin%2830%29 ALIGN=MIDDLE  ALT=\"h%2F16=sin%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=16%2Asin%2830%29 ALIGN=MIDDLE  ALT=\"h=16%2Asin%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The segment length y, the base for the triangle  (before or after making the altitude) is composed of two parts.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D ALIGN=MIDDLE  ALT=\"y%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D ALIGN=MIDDLE  ALT=\"y%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >; sub 1 for the part in the left right triangle, sub 2 for the one on the right.<BR>\n" );
document.write( "There will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=y%5B1%5D%2By%5B2%5D ALIGN=MIDDLE  ALT=\"y=y%5B1%5D%2By%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Left side right triangle, according to pythagorean theorem formula,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5B1%5D%29%5E2%2B%2816%2Asin%2830%29%29%5E2=16 ALIGN=MIDDLE  ALT=\"%28y%5B1%5D%29%5E2%2B%2816%2Asin%2830%29%29%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The right side right triangle, gives you <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5B2%5D%29%5E2%2B%2816%2Asin%2830%29%29%5E2=24%5E2 ALIGN=MIDDLE  ALT=\"%28y%5B2%5D%29%5E2%2B%2816%2Asin%2830%29%29%5E2=24%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "What to do from here, solve the separate sub-parts for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D ALIGN=MIDDLE  ALT=\"y%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D ALIGN=MIDDLE  ALT=\"y%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and sum them.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=y%5B1%5D%2By%5B2%5D ALIGN=MIDDLE  ALT=\"y=y%5B1%5D%2By%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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