SOLUTION: a triangle has an area of 6 square units. I t has vertices with coordinates(1,-3),(4,2) and a point on the x-axis. find all possible coordinates for this point

Question 390390: a triangle has an area of 6 square units. I t has vertices with coordinates(1,-3),(4,2) and a point on the x-axis. find all possible coordinates for this point
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The area of any triangle having vertices (a,b), (c,d), (e,f) is given by the absolute value of
. Hence we want absolute value of

= 6 or , after evaluating and simplifying the determinant,
|3y - 5x + 14| = 12. This is equivalent to 2 linear equations, namely
3y - 5x = -2, OR
3y - 5x = -26.
Any point with coordinates satisfying either equation would form with the other two points a triangle of area 6.
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