Question

Measurement question...totally stumped! Need help!

Answer 1

Can ANYONE see their way to the answer to this?!

Answer 2

I really hope these are measured carefully

Answer 3

All I know is that AD is 27, AC is 2x and BD is x. BC and CD are not equal in length.

Answer 4

I really have no clue here at all!

Answer 5

2x+x=27

Answer 6

x=9

Answer 7

No that's not right because there is an overlap there. Look closely at it.

Answer 8

ahh

Answer 9

Yes...ahh...That's what I said! OMG!

Answer 10

@ganeshie8

Answer 11

Can we do this by inequalities!

Answer 12

hmmm thinking to see if there is something that can help

Answer 13

i proved that x=x lol^_^

Answer 14

can we say that BD=3CD
ration of BD to CD= 3 perhaps?
this way we can set to equation

Answer 15

this is a matter of ratios

Answer 16

@IMStuck

Answer 17

i meant two equations

Answer 18

but it doesn't look like the ratio is 3 does! may be if you check the original scaling of that
segment

Answer 19

if my assumption is correct we would get
3CD=x
27-cd=2x
x=11.57
CD=3.85

Answer 20

what do you think?

Answer 21

any ideas hehe

Answer 22

I have an idea but it's missing one key component... Draw the diagram like so:

We then have two obvious equations:
\[\begin{cases}a+b+c=27\\
a+b=2(b+c)\end{cases}\]
If you can find one more linear (or maybe non-linear?) relation that's fundamentally different from these two, I think you have a good chance of finding the value of \(x=b+c\).

Answer 23

I still don't get it and neither does the teacher that I did my student teaching under. I asked the student I was tutoring if there was something he left out of the specifics of this and he said no, but no one can seem to get x.

Answer 24

I'm wondering if expanding the drawing a bit might reveal another useful relation. Consider the square,