document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767178>Question 767178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The legs of a right triangle are 3 and 4 units long. Find the lengths, to the nearest tenth, of the segments into which the bisector of the right angle divides the hypotenuse </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467474 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q:<BR>\n" );
document.write( "The legs of a right triangle are 3 and 4 units long. Find the lengths, to the nearest tenth, of the segments into which the bisector of the right angle divides the hypotenuse<BR>\n" );
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document.write( "A:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-3%2C5%2C-3%2C5%2Cgrid%281%29%2Cblue%28line%280%2C4%2C3%2C0%29%29%2Cline%280%2C0%2C12%2F7%2C12%2F7%29%2Cblue%28line%280%2C0%2C3%2C0%29%29%2Cblue%28line%280%2C0%2C0%2C4%29%29%2Clocate%281%2C1%2C%22h%22%29%2Clocate%281%2C3%2C%22m%22%29%2Clocate%282.5%2C1%2C%22n%22%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The equation of the bisector is y = x.<BR>\n" );
document.write( "The equation of the hypotenuse is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-4%2F3%29x+%2B+4 ALIGN=MIDDLE  ALT=\"y+=+%28-4%2F3%29x+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Solving for the point of intersection of the bisector and hypotenuse:<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%2F3%29x+%2B+4 ALIGN=MIDDLE  ALT=\"%28-4%2F3%29x+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F3%29x ALIGN=MIDDLE  ALT=\"%287%2F3%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F7 ALIGN=MIDDLE  ALT=\"12%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = y<BR>\n" );
document.write( "Therefore the point of intersection is (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F7 ALIGN=MIDDLE  ALT=\"12%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F7 ALIGN=MIDDLE  ALT=\"12%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >).<BR>\n" );
document.write( "Using distance formula:<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%280+-+12%2F7%29%5E2+%2B+%284-12%2F7%29%5E2+%29 ALIGN=MIDDLE  ALT=\"sqrt%28%280+-+12%2F7%29%5E2+%2B+%284-12%2F7%29%5E2+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &#8776; 2.9<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%2812%2F7+-+3+%29%5E2+%2B+%2812%2F7+-+0%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%2812%2F7+-+3+%29%5E2+%2B+%2812%2F7+-+0%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &#8776; 2.1<BR>\n" );
document.write( "ANSWERS: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282.9%29 ALIGN=MIDDLE  ALT=\"highlight%282.9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282.1%29 ALIGN=MIDDLE  ALT=\"highlight%282.1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );