document.write( "Question 298680: Sailing to Miami. At point A the captain of a ship
\n" ); document.write( "determined that the distance to Miami was 13 miles.
\n" ); document.write( "If she sailed north to point B and then west to Miami,
\n" ); document.write( "the distance would be 17 miles. If the distance from
\n" ); document.write( "point A to point B is greater than the distance from
\n" ); document.write( "point B to Miami, then how far is it from point A to
\n" ); document.write( "point B? \n" ); document.write( "
Algebra.Com's Answer #214776 by mananth(16946)\"\" \"About 
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The directions given indicate that point A Point B and Miami form a right angled triangle.\r
\n" ); document.write( "\n" ); document.write( "Point A too Miami becomes the hypotenuse which is 13 miles\r
\n" ); document.write( "\n" ); document.write( "Let distance from A to B be x\r
\n" ); document.write( "\n" ); document.write( "Then distance from B to Miami will be 17-x ( because AB + B to Miami is 12)\r
\n" ); document.write( "\n" ); document.write( "13^ = x^2+ (17-x)^2\r
\n" ); document.write( "\n" ); document.write( "169 = x^2+ (289-34x+x^2)\r
\n" ); document.write( "\n" ); document.write( "169 =x^2+289 -34x +x^2\r
\n" ); document.write( "\n" ); document.write( "2x^2-34x+ 120=0\r
\n" ); document.write( "\n" ); document.write( "x^2 -17x +60=0\r
\n" ); document.write( "\n" ); document.write( "x^2-12x-5x+60=0\r
\n" ); document.write( "\n" ); document.write( "x(x-12)-5(x-12)=0\r
\n" ); document.write( "\n" ); document.write( "(x-12)(x-5) =0\r
\n" ); document.write( "\n" ); document.write( "x=12 or 5\r
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