Question

-

Answer 1

Is there a picture?

Answer 2

If you know the ratio of the distance AB to the distance CD, then you will have proven the ratio of 5:2 because the diagonals of a trapezoid intersect at a point equal to the ratio of the bases with respect to each other.

Answer 3

Looking at this I would then speculate that you could take the provided coordinates, use the distance formula to calculate the length between the desired points, and prove your 5:2 ratio.

Answer 4

i think first of all,
we should find the coordinates of the point where ac and bd intersect....
@msingh can you do that or should i help with that??

Answer 5

@kausarsalley You do not really care what the coordinates are for the intersection of the diagonal since it is a property of a trapezoid that the diagonals intersect at a point that is equal to the ratio of the size of the bases.

Answer 6

@eSpeX okay.....but i also did it that way and i got the andwer

Answer 7

the ratio of the bases ...AB/CD = sqrt5/2 so that contradicts the supposed ratio of 5:2
this is not a trapezoid then i guess

line AC is y = 1/2x + 5/2
line BD is y = -x+3

lines intersect at point (1/3 , 8/3)

wait crap , those points are wrong ??!!
its not a quadrilateral
http://www.wolframalpha.com/input/?i=plot+%28-1%2C2%29%2C+%282%2C1%29%2C+%283%2C4%29%2C+%281%2C2%29

Answer 8

or sorry it is a quadrilateral....but your picture is way off