document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85405>Question 85405</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I've been working on this all day. And i need some assistance. Can someone please help me?\r<BR>\n" );
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document.write( "A right triangle has legs of lengths 9 and 12<BR>\n" );
document.write( "(a) Its hypotenuse has a length of_______<BR>\n" );
document.write( "(b) The altitude to the hypotenuse divides it into segments of lengths___ and ____<BR>\n" );
document.write( "(c) The altitude to the hypotenuse has length_____ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61588 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=61588\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since we have a triangle with legs of 9 , 12 and a hypotenuse of x(our unknown side), we can use Pythagoreans theorem to find the unknown side.\r<BR>\n" );
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document.write( "Pythagoreans theorem<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   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=9%5E2%2B12%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"9%5E2%2B12%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Plug in a=9 and b=12 and lets solve for c\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+1+%2B+1+4+4+=++c++%5E+2 ALIGN=MIDDLE  ALT=\"8+1+%2B+1+4+4+=++c++%5E+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square each individual term\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+2+5+=++c++%5E+2 ALIGN=MIDDLE  ALT=\"2+2+5+=++c++%5E+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+q+r+t+%28+2+2+5+%29+=+s+q+r+t+%28++c++%5E+2+%29 ALIGN=MIDDLE  ALT=\"s+q+r+t+%28+2+2+5+%29+=+s+q+r+t+%28++c++%5E+2+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+5+=+c ALIGN=MIDDLE  ALT=\"1+5+=+c\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "So our answer is\r<BR>\n" );
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document.write( "(a) \"Its hypotenuse has a length of__15__\"\r<BR>\n" );
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document.write( "To find the altitude (to the hypotenuse), we can use this formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Altitude=a%2Ab%2Fc ALIGN=MIDDLE  ALT=\"Altitude=a%2Ab%2Fc\"   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=Altitude=9%2A12%2F15=108%2F15=7.2 ALIGN=MIDDLE  ALT=\"Altitude=9%2A12%2F15=108%2F15=7.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > plug in the given info\r<BR>\n" );
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document.write( "So the length of the altitude is 7.2\r<BR>\n" );
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document.write( "(c) The altitude to the hypotenuse has length___7.2__\"\r<BR>\n" );
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document.write( "So now construct a smaller triangle within the given one. Now using the altitude's length, we can find one piece of the hypotenuse\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"http://photobucket.com\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://i150.photobucket.com/albums/s91/jim_thompson5910/triangle.jpg\" border=\"0\" alt=\"Photo Sharing and Video Hosting at Photobucket\"></a>\r<BR>\n" );
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document.write( "Since we have a triangle with legs of x (our unknown side), 7.2 and a hypotenuse of 9, we can use Pythagoreans theorem to find the unknown side.\r<BR>\n" );
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document.write( "Pythagoreans theorem<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   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=a%5E2%2B7.2%5E2=9%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2B7.2%5E2=9%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Plug in b=7.2 and c=9 and lets solve for a\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a++%5E+2+%2B+51.84+=+8+1 ALIGN=MIDDLE  ALT=\"+a++%5E+2+%2B+51.84+=+8+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square each individual term\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a++%5E+2+=+8+1+-+51.84 ALIGN=MIDDLE  ALT=\"+a++%5E+2+=+8+1+-+51.84\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 51.84 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a++%5E+2+=+29.16 ALIGN=MIDDLE  ALT=\"+a++%5E+2+=+29.16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+q+r+t+%28++a++%5E+2+%29+=+s+q+r+t+%28+29.16%29 ALIGN=MIDDLE  ALT=\"s+q+r+t+%28++a++%5E+2+%29+=+s+q+r+t+%28+29.16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+5.4 ALIGN=MIDDLE  ALT=\"a+=+5.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "So our answer is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+5.4 ALIGN=MIDDLE  ALT=\"a+=+5.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the length of one piece of the hypotenuse is 5.4. Now subtract 5.4 from 15 to find the other piece's length\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15-5.4=9.6 ALIGN=MIDDLE  ALT=\"15-5.4=9.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the length of the other piece is 9.6\r<BR>\n" );
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document.write( "(b) The altitude to the hypotenuse divides it into segments of lengths_5.4__ and _9.6___ </SPAN>\n" );
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