document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199495>Question 199495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the legs of a right triangle have the lengths of 7 and 24. The bisector of the right angle divides the hypotenuse into two segments. What is the length of the shorter segment of the hypotenuse to the nearest tenth? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149944 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=149944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the legs of a right triangle have the lengths of 7 and 24.<BR>\n" );
document.write( " The bisector of the right angle divides the hypotenuse into two segments.<BR>\n" );
document.write( " What is the length of the shorter segment of the hypotenuse to the nearest tenth?<BR>\n" );
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document.write( "Let the short side = x<BR>\n" );
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document.write( "Find angle A<BR>\n" );
document.write( "Tan(A) = 24/7<BR>\n" );
document.write( "A = 73.74<BR>\n" );
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document.write( "B = half the right angle = 45 degrees<BR>\n" );
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document.write( "Find the 3rd angle formed by the bisector:<BR>\n" );
document.write( "180 - 45 - 73.74 = 61.26<BR>\n" );
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document.write( "Use the law of sines<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2845%29%2Fx ALIGN=MIDDLE  ALT=\"sin%2845%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2861.26%29%2F7 ALIGN=MIDDLE  ALT=\"sin%2861.26%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.707%2Fx ALIGN=MIDDLE  ALT=\".707%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.877%2F7 ALIGN=MIDDLE  ALT=\".877%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( ".877x = 7*.707<BR>\n" );
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document.write( ".877x = 4.949<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.949%2F.877 ALIGN=MIDDLE  ALT=\"4.949%2F.877\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 5.6 </SPAN>\n" );
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