document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=245996>Question 245996</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The shortest side of a triangle is 10. The angle ratios are 4:5:9. What is the length of the longest side? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179706 by </B><A HREF=/tutors/aboutme.mpl?userid=marcsam823><B>marcsam823(57)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=marcsam823><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=179706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the measurements of all angles. Since the ratio of the angles is 4:5:9 and the total of all angles in a triangle add up to 180 degrees:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%2B+5x+%2B+9x+=+180 ALIGN=MIDDLE  ALT=\"4x+%2B+5x+%2B+9x+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18+x+=+180 ALIGN=MIDDLE  ALT=\"18+x+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+10 ALIGN=MIDDLE  ALT=\"x+=+10\"   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=4%2810%29+=+40+degrees ALIGN=MIDDLE  ALT=\"4%2810%29+=+40+degrees\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2810%29+=+50+degrees ALIGN=MIDDLE  ALT=\"5%2810%29+=+50+degrees\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2810%29+=+90+degrees ALIGN=MIDDLE  ALT=\"9%2810%29+=+90+degrees\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Draw a right triangle<BR>\n" );
document.write( "Label the vertical side \"10\"<BR>\n" );
document.write( "Label the angle opposite the vertical side \"40 degrees\"<BR>\n" );
document.write( "(The smallest angle is always opposite the shortest side)<BR>\n" );
document.write( "You will be solving for the hypotenuse (longest side); label the hypotenuse \"x\"\r<BR>\n" );
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document.write( "To solve for the hypotenuse use the sine function <BR>\n" );
document.write( "Sine of an angle = opposite side/ hypotenuse<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+40+=+10%2Fx ALIGN=MIDDLE  ALT=\"sin+40+=+10%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+10%2Fsin+40 ALIGN=MIDDLE  ALT=\"x+=+10%2Fsin+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+10%2F.6428 ALIGN=MIDDLE  ALT=\"x+=+10%2F.6428\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+15.55 ALIGN=MIDDLE  ALT=\"x+=+15.55\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees </SPAN>\n" );
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