document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=544544>Question 544544</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using Radical Operations In Real Life\r<BR>\n" );
document.write( "\n" );
document.write( "         Triangle # 1                                       <BR>\n" );
document.write( " 6 inch (Left)/__\Hypotenuse=x (right side) <BR>\n" );
document.write( "        9 inch (bottom)                                     \r<BR>\n" );
document.write( "\n" );
document.write( "         Triangle # 2<BR>\n" );
document.write( "7 inch (left) /__\Hypotenuse=x<BR>\n" );
document.write( "            7 inch(bottom)\r<BR>\n" );
document.write( "\n" );
document.write( "1)Using the Pythagorean theorem, find the length of each hypotenuse. Write the <BR>\n" );
document.write( "length of each hypotenuse using radicals ( i.e. n&#8730;x ). (Show your work).<BR>\n" );
document.write( "1)<BR>\n" );
document.write( "2)\r<BR>\n" );
document.write( "\n" );
document.write( "2) Without converting the hypotenuse lengths to a decimal, find the area of a <BR>\n" );
document.write( "rectangle with a length equivalent to Hypotenuse #1 and a width equivalent to <BR>\n" );
document.write( "Hypotenuse #2. Express your answer using radicals.\r<BR>\n" );
document.write( "\n" );
document.write( "3) Find the ratio of Hypotenuse #1 to Hypotenuse #2. Express your answer using <BR>\n" );
document.write( "radicals </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355449 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=355449\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+275%2C+200%2C+-1%2C+10%2C+-1%2C+7%2C%0D%0A++rectangle%28+0%2C+0%2C+0.5%2C+0.5+%29%2C+triangle%28+0%2C+0%2C+9%2C+0%2C+0%2C+6+%29%2C%0D%0A++locate%28+4%2C+0%2C+9+%29%2C+locate%28+-0.5%2C+3.5%2C+6+%29%2C+locate%28+4.5%2C+4%2C+x+%29%0D%0A++%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=6%5E2%2B9%5E2=36%2B81=117 ALIGN=MIDDLE  ALT=\"x%5E2=6%5E2%2B9%5E2=36%2B81=117\"   DISABLED_style= \"max-width:90%; height:auto;\" >--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%28117%29=sqrt%289%2A13%29=sqrt%289%29%2Asqrt%2813%29=3sqrt%2813%29 ALIGN=MIDDLE  ALT=\"x=sqrt%28117%29=sqrt%289%2A13%29=sqrt%289%29%2Asqrt%2813%29=3sqrt%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+225%2C+225%2C+-1%2C+8%2C+-1%2C+8%2C%0D%0A++rectangle%28+0%2C+0%2C+0.5%2C+0.5+%29%2C+triangle%28+0%2C+0%2C+7%2C+0%2C+0%2C+7+%29%2C%0D%0A++locate%28+3%2C+0%2C+7+%29%2C+locate%28+-0.5%2C+3.5%2C+7+%29%2C+locate%28+3.5%2C+4%2C+x+%29%0D%0A++%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=7%5E2%2B7%5E2=49%2B49=98 ALIGN=MIDDLE  ALT=\"x%5E2=7%5E2%2B7%5E2=49%2B49=98\"   DISABLED_style= \"max-width:90%; height:auto;\" >--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%2898%29=sqrt%2849%2A2%29=sqrt%2849%29%2Asqrt%282%29=7sqrt%282%29 ALIGN=MIDDLE  ALT=\"x=sqrt%2898%29=sqrt%2849%2A2%29=sqrt%2849%29%2Asqrt%282%29=7sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The area of rectangle with sides measuring <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%2813%29 ALIGN=MIDDLE  ALT=\"3sqrt%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7sqrt%282%29 ALIGN=MIDDLE  ALT=\"7sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283sqrt%2813%29%29%2A%287sqrt%282%29%29=3%2A7%2Asqrt%2813%29%2Asqrt%282%29=21sqrt%2826%29 ALIGN=MIDDLE  ALT=\"%283sqrt%2813%29%29%2A%287sqrt%282%29%29=3%2A7%2Asqrt%2813%29%2Asqrt%282%29=21sqrt%2826%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The ratio of the hypotenuse lengths found above is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283sqrt%2813%29%29%2F%287sqrt%282%29%29=%28%283sqrt%2813%29%29%2F%287sqrt%282%29%29%29%2A%28sqrt%282%29%2Fsqrt%282%29%29%0D%0A=%283sqrt%2813%29sqrt%282%29%29%2F%287sqrt%282%29sqrt%282%29%29=3sqrt%2826%29%2F%287%2A2%29=3sqrt%2826%29%2F14 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I multiplied times the factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=sqrt%282%29%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"1=sqrt%282%29%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to rationalize (meaning getting rid of square roots in the denominator). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );