document.write( "Question 938101: Two vertices of an equilateral triangle are (3,4)and (-2,3) the third vertex can be \n" ); document.write( "

Algebra.Com's Answer #571479 by Edwin McCravy(20054) $\"\"$ $\"About$

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Two vertices of an equilateral triangle are (3,4)and (-2,3) the third vertex can be
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document.write( "There are obviously two solutions:\r\n" );
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document.write( " and \r\n" );
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document.write( "First we find the distance between them to find out the\r\n" );
document.write( "lengths of the three sides of the equilateral triangle.\r\n" );
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document.write( "Let the third vertex be the point (u,v)\r\n" );
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document.write( "Then the distance from (u,v) to (3,4) must\r\n" );
document.write( "equal to the distance from (u,v) to (-2,3),\r\n" );
document.write( "and each must equal to .\r\n" );
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document.write( "Squaring all three sides:\r\n" );
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document.write( "Substitute in\r\n" );
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document.write( "Using the +,\r\n" );
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document.write( "so one solution is , which is about (-0.4,7.8) \r\n" );
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document.write( "Using the -,\r\n" );
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document.write( "so the other solution is , which is about (1.4,-0.8) \r\n" );
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document.write( "Edwin

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