document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214259>Question 214259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> USE THE PYTHAGOREAN THEOREM TO FIND THE DISTANCE BETWEEN EACH PAIR OF POINTS. A(O,O), B(8,6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161829 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=161829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> USE THE PYTHAGOREAN THEOREM TO FIND THE DISTANCE BETWEEN EACH PAIR OF POINTS. A(O,O), B(8,6)\r<BR>\n" );
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document.write( "Step 1.  The distance d between points A or (x1,y1) and points B or (x2, y2) will be derived from the Pythagorean Theorem. That is,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=%28x2-x1%29%5E2%2B%28y2-y1%29%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=%28x2-x1%29%5E2%2B%28y2-y1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the sum of the square of the lengths of the sides <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x2-x1%29%5E2 ALIGN=MIDDLE  ALT=\"%28x2-x1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y2-y1%29%5E2 ALIGN=MIDDLE  ALT=\"%28y2-y1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equal to the square of the hypotenuse or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2 ALIGN=MIDDLE  ALT=\"d%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Step 2.  So when A(0,0) then x1=0 and y1=0.  When B(8,6), then x2=8 and y2=6.\r<BR>\n" );
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document.write( "Step 3.  Using Steps 1 and 2, yields,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=%28x2-x1%29%5E2%2B%28y2-y1%29%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=%28x2-x1%29%5E2%2B%28y2-y1%29%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=%288-0%29%5E2%2B%286-0%29%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=%288-0%29%5E2%2B%286-0%29%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=64%2B36 ALIGN=MIDDLE  ALT=\"d%5E2=64%2B36\"   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=10 ALIGN=MIDDLE  ALT=\"d=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4.  So the distance is 10 between points A and B.\r<BR>\n" );
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document.write( "I hope the above steps were helpful. \r<BR>\n" );
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document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J </SPAN>\n" );
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