document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=420202>Question 420202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A small commuter airline flies to three cities whose locations form the vertices of a right triangle. The total flight distance (from city A to city B to city C and back to city A) is 1400 miles. It is 600 miles between the two cities that are furthest apart (city A to city B). Find the other two distances between cities. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #293704 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=293704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Farthest distance = 600 miles will be the hypotenuse\r<BR>\n" );
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document.write( "the balance 800 is the sum of the two legs of the right triangle.<BR>\n" );
document.write( "if one side is x<BR>\n" );
document.write( "other side = 800-x<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x^2+(800-x)^2=600^2\r<BR>\n" );
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document.write( "x^2+640000-1600x+x^2=360000<BR>\n" );
document.write( "2x^2-1600x+280000=0<BR>\n" );
document.write( "/2<BR>\n" );
document.write( "x^2-800x+140000=0<BR>\n" );
document.write( "solve using quadratic equation<BR>\n" );
document.write( "b^2-4ac= 120000<BR>\n" );
document.write( "one side = 541.4 miles<BR>\n" );
document.write( "other side =258.6 miles </SPAN>\n" );
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