document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=954559>Question 954559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.<BR>\n" );
document.write( "triangle with leg 14 and X and hypotenuse x+2. how do you solve that?\r<BR>\n" );
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document.write( "                               AND\r<BR>\n" );
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document.write( "2.<BR>\n" );
document.write( "The aspect ratio of a TV screen is the ratio of the width to the height of the image. S regular TV has an aspect ratio of 4:3. Find the height and width of a 42-inch TV screen to the nearest tenth of an inch. (The measure given is the length of the diagonal across the screen.)\r<BR>\n" );
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document.write( "                              AND\r<BR>\n" );
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document.write( "3.<BR>\n" );
document.write( "A \"wide-screen\" TV has an aspect ratio of 16:9. Find the length of a diagonal on a wide-screen TV screen that has the same height as my second question.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #583039 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=583039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "1.<BR>\n" );
document.write( "triangle with leg <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=14 ALIGN=MIDDLE  ALT=\"a=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=x ALIGN=MIDDLE  ALT=\"b=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and hypotenuse <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=x%2B2 ALIGN=MIDDLE  ALT=\"c=x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if given hypotenuse means you have right-angle triangle, so you use Pythagorean theorem:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"c%5E2=a%5E2%2Bb%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=%28x%2B2%29%5E2=14%5E2%2Bx%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2=14%5E2%2Bx%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=cross%28x%5E2%29%2B4x%2B4=196%2Bcross%28x%5E2%29 ALIGN=MIDDLE  ALT=\"cross%28x%5E2%29%2B4x%2B4=196%2Bcross%28x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                          <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=196-4 ALIGN=MIDDLE  ALT=\"4x=196-4\"   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=4x=192 ALIGN=MIDDLE  ALT=\"4x=192\"   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=x=192%2F4 ALIGN=MIDDLE  ALT=\"x=192%2F4\"   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=x=48 ALIGN=MIDDLE  ALT=\"x=48\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> other leg\r<BR>\n" );
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document.write( " and hypotenuse <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2=50 ALIGN=MIDDLE  ALT=\"x%2B2=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, your triangle has sides length: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=14 ALIGN=MIDDLE  ALT=\"a=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=48 ALIGN=MIDDLE  ALT=\"b=48\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=50 ALIGN=MIDDLE  ALT=\"c=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2.\r<BR>\n" );
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document.write( "given:  aspect ratio of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%3A3 ALIGN=MIDDLE  ALT=\"4%3A3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " Find the height and width of a 42-inch TV screen to the nearest tenth of an inch. (The measure given is the length of the diagonal across the screen.)\r<BR>\n" );
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document.write( "  let length be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" >, width <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%3AW=4%3A3 ALIGN=MIDDLE  ALT=\"L%3AW=4%3A3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3L=4W ALIGN=MIDDLE  ALT=\"3L=4W\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=4W%2F3 ALIGN=MIDDLE  ALT=\"L=4W%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "also given  that is 42-inch TV screen, means its diagonal is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=42in ALIGN=MIDDLE  ALT=\"d=42in\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "you know that diagonal splits  TV screen into two right-angle triangles whose legs are  length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" > and width <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"W\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "use Pythagorean theorem again:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=L%5E2%2BW%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=L%5E2%2BW%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >....since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=4W%2F3 ALIGN=MIDDLE  ALT=\"L=4W%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can substitute it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=%284W%2F3%29%5E2%2BW%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=%284W%2F3%29%5E2%2BW%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...plug in value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   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=%2842in%29%5E2=%284W%2F3%29%5E2%2BW%5E2 ALIGN=MIDDLE  ALT=\"%2842in%29%5E2=%284W%2F3%29%5E2%2BW%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1764in%5E2=16W%5E2%2F9%2BW%5E2 ALIGN=MIDDLE  ALT=\"1764in%5E2=16W%5E2%2F9%2BW%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=1764in%5E2%2A9=%289%2A16W%5E2%29%2F9%2B9W%5E2 ALIGN=MIDDLE  ALT=\"1764in%5E2%2A9=%289%2A16W%5E2%29%2F9%2B9W%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=15876in%5E2=16W%5E2%2B9W%5E2 ALIGN=MIDDLE  ALT=\"15876in%5E2=16W%5E2%2B9W%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=15876in%5E2=25W%5E2 ALIGN=MIDDLE  ALT=\"15876in%5E2=25W%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=W%5E2=15876in%5E2%2F25 ALIGN=MIDDLE  ALT=\"W%5E2=15876in%5E2%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2=635.04in%5E2 ALIGN=MIDDLE  ALT=\"W%5E2=635.04in%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=W=sqrt%28635.04in%5E2%29 ALIGN=MIDDLE  ALT=\"W=sqrt%28635.04in%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28W=25.2in%29 ALIGN=MIDDLE  ALT=\"highlight%28W=25.2in%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "now find the length:<BR>\n" );
document.write( "    <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=4W%2F3 ALIGN=MIDDLE  ALT=\"L=4W%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=%284%2A25.2in%29%2F3 ALIGN=MIDDLE  ALT=\"L=%284%2A25.2in%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=33.6in%29 ALIGN=MIDDLE  ALT=\"highlight%28L=33.6in%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "3.\r<BR>\n" );
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document.write( "A \"wide-screen\" TV has an aspect ratio of 16:9. Find the length of a diagonal on a wide-screen TV screen that has the same height as my second question.\r<BR>\n" );
document.write( "\n" );
document.write( "let height be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"W\"   DISABLED_style= \"max-width:90%; height:auto;\" > from second question:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28W=25.2in%29 ALIGN=MIDDLE  ALT=\"highlight%28W=25.2in%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%3AW=16%3A9 ALIGN=MIDDLE  ALT=\"L%3AW=16%3A9\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9L=16W ALIGN=MIDDLE  ALT=\"9L=16W\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=16W%2F9 ALIGN=MIDDLE  ALT=\"L=16W%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=%2816%2A25.2in%29%2F9 ALIGN=MIDDLE  ALT=\"L=%2816%2A25.2in%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=44.8in%29 ALIGN=MIDDLE  ALT=\"highlight%28L=44.8in%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=L%5E2%2BW%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=L%5E2%2BW%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >....since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=44.8in ALIGN=MIDDLE  ALT=\"L=44.8in\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=25.2in ALIGN=MIDDLE  ALT=\"W=25.2in\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=%2844.8in%29%5E2%2B%2825.2in%29%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=%2844.8in%29%5E2%2B%2825.2in%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=2007.04in%5E2%2B635.04in%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=2007.04in%5E2%2B635.04in%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=d%5E2=2642.08in%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=2642.08in%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%282642.08in%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%282642.08in%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=51.40116730192029in ALIGN=MIDDLE  ALT=\"d=51.40116730192029in\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=51.4in%29 ALIGN=MIDDLE  ALT=\"highlight%28d=51.4in%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );