Question 1207180: ABCD is a trapezium with A (4,1) a d C(4,5) the point B lies on the y axis and angle DAB is 90 degrees find
The equation of line AB
The equation of line AD
The coordinates of D
Answer by greenestamps(13200)   (Show Source):
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ANSWER(S): There is no unique solution to the problem with the given information.
To find a solution...
(1) Choose point B(0,b) on the y-axis (b can be any number greater than 1)
(2) Determine the slope of AB
(3) Determine the slope of AD (AD and AB are perpendicular)
(4) Using A(4,1) and the slope of AD, find the equation of AD
(5) Using C(4,5) and the slope of CD (it is the same as the slope of AB), find the equation of CD
(6) Solve the equations from (4) and (5) simultaneously to find the coordinates of D
Here are two solutions using B(0,3) (green) and B(0,5) (red):
For any choice for point B on the y axis with y coordinate greater than 1, there is a solution. So the problem as presented cannot be solved.
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