Question

look at the figure !

Answer 1

ABCD is parallelogram. Find ED ?

Answer 2

BC = (5/3)x because BFC and EFD are similar triangles

Answer 3

Do you know how to find BD?

Answer 4

how do u know BFC and EFD are similar ?

Answer 5

Because the three triangles and clipped triangles are enclosed in a parallelogram, angle FBC = angle EDF and angle EFD = angle BFC. Right?

Answer 6

The second part isn't because of the parallelogram, just because they are opposite.

Answer 7

oh ok, i see thats right...
so, next ?

Answer 8

I had something in mind with BD but lost it. Can you think how BD might help?

Answer 9

hmmm, for this time no idea...

Answer 10

if only we had some angles... i'm going to see if i can find anything about parallelograms on the internet. geometry was a long time ago for me.

Answer 11

"The sum of the distances from any interior point of a parallelogram to the sides is independent of the location of the point."
we should be able to use that methinks

Answer 12

did you study Viviani's theorem?

Answer 13

i think we can create an equation using the similar sides FD and FB with Viviani's theorem.

Answer 14

but maybe not

Answer 15

the only thing i'm mostly sure is useful is the similar triangles. without more info, i'm kindof lost.

Answer 16

yea, i think like that... but still stuck
Viviani's theorem? i dont know it

Answer 17

if you haven't covered that (i just now learned of it) it's probably not relevant.

Answer 18

ok, nope.
thanks u have remember to me about similarity

Answer 19

triangles with 2 of 3 identical angles (the third will always be the same if the other two are) will be proportional.

Answer 20

you good on why that applies to EFD and BFC?

Answer 21

that gets us a relationship between x and the long sides' length. gotta be good for something.

Answer 22

is the problem not complete information ?

Answer 23

is that an option?

Answer 24

nothink

Answer 25

you dont think so?

Answer 26

it is a essay question.... i was lost 3 hour to do it :(

Answer 27

wow. that is unfortunate. what class?

Answer 28

grade 9th

Answer 29

without any angles to do some trig, i cant think of anything sorry. i'm gonna get out of here. good luck.

Answer 30

ok, thank you so much....

Answer 31

i would think there has to be something in your notes that applies to this. check there. you're welcome.

Answer 32

yups...