document.write( "Question 982117: The two vertices that form the non-congruent side of an isosceles triangle are (-5,3) and (2,3). What are the coordinates of the other vertex.\r
\n" ); document.write( "\n" ); document.write( "I am beyond lost. Thanks! \n" ); document.write( "
Algebra.Com's Answer #602983 by macston(5194)\"\" \"About 
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The other vertex that forms the triangle is on a line perpendicular to the segment at its midpoint.
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\n" ); document.write( "Find the midpoint:
\n" ); document.write( "midpoint=((x1+x2)/2,((y1+y2)/2)
\n" ); document.write( "midpoint=((-5+2)/2,(3+3)/2)
\n" ); document.write( "midpoint=(-(3/2),3)
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\n" ); document.write( "Find the slope of the original segment:
\n" ); document.write( "m=slope
\n" ); document.write( "m=(y2-y1)/x2-x1
\n" ); document.write( "m=(3-3)/(2-(-5)=0/7=0
\n" ); document.write( "The line is horizontal.
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\n" ); document.write( "The perpendicular line will be vertical, thus will have an undefined slope.
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\n" ); document.write( "Equation for original line:
\n" ); document.write( "y=mx+b
\n" ); document.write( "y=3
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\n" ); document.write( "The vertical line through the midpoint is x=-(3/2)\r
\n" ); document.write( "\n" ); document.write( "Any point on the line x=-(3/2) except (-(3/2),3) can be connected to the given vertices to form an isosceles triangle.
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