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Question 935864: Determine the equation of the line on which the side of a given rhombus lie if the 3 other sides lie on 3x +2y + 12 =0, 4x -3y -12=0 and 6x +4y -11=0.
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! If a parallelogram has two consecutive sides  , it is a rhombus. Also oppo
if the  other sides lie on  , and  , then fourth side lie on 
write these lines in slope-intercept form
=>  => a slope is 
=> => a slope is 
these lines are not parallel, they have different slopes; it means, third given line must be parallel to one of these lines
find a slope of third line:=> => => a slope is
so, lines and are parallel
now, we need to find the distance between these parallel lines using distance formula: find one point on each line
if  then  :( , )
if then  :(, )
then we need to find a fourth line  which is parallel to and will have a slope and
find one point on
if then  :(, )
 ...point on a line we are looking for is :(, ) which is y-intercept or 
so, our line is 
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