Given ABC and of rectangle ABCD, find equation of line AD...

NumberPlateBoy

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Given ABC and of rectangle ABCD, find equation of line AD and hence find D

OK, I just want someone to point me in the right direction, not give me the answer.

We have three points, A, B and C, for which we have co-ordinates.
There is an unknown point, D, which forms a rectangle with the other points, ABCD.

The question is to find D by getting the equations for AD and CD.

Now, I can get the equation for CD by:

1) getting gradient for AB
2) as CD is parallel to AB, it will have the same gradient
3) pump co-ordinates for C into y=mx + c using gradient for AB, and therefore get equation for CD

BUT, how do I get the eqation for AD? Do i have to use some trig?

A: (4,9)
B: (3,7)
c: (-3,10)

PLEASE don't give me the equation or the co-ordinates of D, I just want some clues about how to do it.

Thanks
M
 
Write the equation of line with slope BC through A.
Write the equation of line with slope BA through C.
Find where the two lines intersect.
 
Re: Given ABC and of rectangle ABCD, find equation of line A

I blanked out!
 
Re: Given ABC and of rectangle ABCD, find equation of line A

NumberPlateBoy said:
Given ABC and of rectangle ABCD,

Are you sure ABCD is a rectangle?

The given points for A, B & C do not seem to create any right-angle anywhere!!


find equation of line AD and hence find D


OK, I just want someone to point me in the right direction, not give me the answer.

We have three points, A, B and C, for which we have co-ordinates.
There is an unknown point, D, which forms a rectangle with the other points, ABCD.

The question is to find D by getting the equations for AD and CD.

Now, I can get the equation for CD by:

1) getting gradient for AB
2) as CD is parallel to AB, it will have the same gradient
3) pump co-ordinates for C into y=mx + c using gradient for AB, and therefore get equation for CD

BUT, how do I get the eqation for AD? Do i have to use some trig?

A: (4,9)
B: (3,7)
c: (-3,10)

PLEASE don't give me the equation or the co-ordinates of D, I just want some clues about how to do it.

Thanks
M
 
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