document.write( "Question 1004282: Two vertices of an equilateral triangle are (10,-4)and (0,6) the third vertex can be \n" ); document.write( "
Algebra.Com's Answer #620791 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Draw the line connecting the two points:\r\n" );
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document.write( "That's one side of the triangle.  The third vertex can be any point\r\n" );
document.write( "that is NOT on the line through those two points. For instance, it\r\n" );
document.write( "could be the vertex indicated by the green lines on the graphs below.\r\n" );
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document.write( "However it could not be anywhere on the line through the two \r\n" );
document.write( "given points.\r\n" );
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document.write( "To answer the question, we must find the equation of the line\r\n" );
document.write( "through those points, i.e., the line that includes as a segment\r\n" );
document.write( "one of the sides of the triangle.  To find the equation of that\r\n" );
document.write( "line we use the slope formula to find its slope:\r\n" );
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document.write( "\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"\r\n" );
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document.write( "\"m=%28%286%29-%28-4%29%29%2F%28%280%29-%2810%29%29\"\r\n" );
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document.write( "\"m=%286%2B4%29%2F%28-10%29\"\r\n" );
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document.write( "\"m=10%2F%28-10%29\"\r\n" );
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document.write( "\"m=-1\"\r\n" );
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document.write( "The use the point-slope formula:\r\n" );
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document.write( "\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"\r\n" );
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document.write( "\"y-%28-4%29=%28-1%29%28x-%2810%29%5E%22%22%29\"\r\n" );
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document.write( "\"y%2B4=-%28x-10%29\"\r\n" );
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document.write( "\"y%2B4=-x%2B10\"\r\n" );
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document.write( "\"y=-x%2B6\"\r\n" );
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document.write( "Answer:  The third vertex can be any ordered\r\n" );
document.write( "pair of this set:\r\n" );
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document.write( "Edwin
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