SOLUTION: 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.

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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