document.write( "Question 499225: If in an eqilateral triangle ABC the coordinates of B and C are (1,0) and (5,0) respectivly. What are coordinates of A? \n" ); document.write( "
Algebra.Com's Answer #337498 by cleomenius(959)\"\" \"About 
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We would have to use the distance formula
\n" ); document.write( "D = \"sqrt%28%28x2+-+x1%29%5E2+%2B+%28y2+-+y1%29%5E2%29\"
\n" ); document.write( "Now, we find the distance from B to C.
\n" ); document.write( "BC = \"sqrt%28%285+-+1%29%5E2+%2B+%280-+0%29%5E2%29\"
\n" ); document.write( "BC = \"sqrt%28%284%29%5E2+%29\"
\n" ); document.write( "BC = 4.
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\n" ); document.write( "Since this is and equilateral trinangle, the sides will be equal to a distance of 4.
\n" ); document.write( "Trying different numbers, the point for A I came up with is (3, \"sqrt%2812%29\")
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\n" ); document.write( "AB = \"sqrt%28%283+-+1%29%5E2+%2Bsqrt%2812%29%5E2%29\"
\n" ); document.write( "AB = \"sqrt%28%282%29%5E2+%2B+12+%29\"
\n" ); document.write( "AB = \"sqrt%2816%29\"
\n" ); document.write( "AB = 4
\n" ); document.write( "===============================================================================
\n" ); document.write( "AC = \"sqrt%28%283+-+5%29%5E2+%2Bsqrt%2812%29%5E2%29\"
\n" ); document.write( "AC = \"sqrt%28%28-2%29%5E2+%2B+12+%29\"
\n" ); document.write( "AC = \"sqrt%2816%29\"
\n" ); document.write( "AC = 4
\n" ); document.write( "==============================================================================
\n" ); document.write( "This does check.
\n" ); document.write( "The point will be (3, \"sqrt%2812%29\")
\n" ); document.write( "Cleomenius
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