imqwerty
  • imqwerty
help :(
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
imqwerty
  • imqwerty
We have a quadrilateral ABCD with AB+CD+AC=20cm and the area of quadrilateral is 50cm^2. Find the length of diagonal BD.
Loser66
  • Loser66
@phi
phi
  • phi
Does this question have a figure ? If so, can you post it or a sketch?

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imqwerty
  • imqwerty
ok wait
imqwerty
  • imqwerty
|dw:1437311000849:dw|
phi
  • phi
yes, it will take some musing.
imqwerty
  • imqwerty
my math professor gave me this question...he has a hole lot of such amusing questions. :)
phi
  • phi
what techniques have you been studying? maybe there is a hint there?
imqwerty
  • imqwerty
we've been studying- solutions of triangles trignometry sequences nd series
phi
  • phi
If I get any bright ideas, I'll post it.
imqwerty
  • imqwerty
ok thanks :)
imqwerty
  • imqwerty
ok
danica518
  • danica518
DANG MAN
danica518
  • danica518
the length of diagonal as a function of the length of the opposite sides, i feel like there is another variable involved but i think we can write a dependant function of these variables
danica518
  • danica518
it has to be the key to getting an expression for some unknowns
danica518
  • danica518
|dw:1437239446838:dw|
danica518
  • danica518
uh lets just take some arb values see a possiblity
danica518
  • danica518
do you think we have to give him like an expression for the solution
danica518
  • danica518
like this this Z shape for instance
danica518
  • danica518
we can reshape the Z in many ways and still maintain 50 cm^2 i think there is no problem with that
danica518
  • danica518
|dw:1437239633806:dw|
imqwerty
  • imqwerty
we have to give direct numerical answer nt an expression..thanks fr helping :)
danica518
  • danica518
|dw:1437239689188:dw|
danica518
  • danica518
but look at this, this illustration atleast tells us there have to be multiple possiblities
danica518
  • danica518
if i vary the angles between the lines that form Z, and vary the lengths incolved in eaach segment of the Z
danica518
  • danica518
i can think of ways the solution might be limited to just 1 answer, if it was asking is there a integer solution or something
danica518
  • danica518
oh maybe it comes down to the possible hypotenuse u can even form with a triangle
danica518
  • danica518
oh that could be helpful, we should consider the possible legs of a triangle and the maximum area they can produce
danica518
  • danica518
|dw:1437239899601:dw|
imqwerty
  • imqwerty
u mean that if v change the angles between the lines of z then v can have multiple solutions but v must keep the area in mind it may be possible that the area may change when we change the angles between the lines of z.
danica518
  • danica518
|dw:1437240237972:dw|
danica518
  • danica518
lets see if we can rewrite the area expression with respect to theta and phi now with the diagonal length changes
danica518
  • danica518
|dw:1437240322515:dw|
danica518
  • danica518
what can you saw about the opposite angles wrt to theta and phi?
danica518
  • danica518
|dw:1437240370715:dw|
danica518
  • danica518
are there pair of similiar triangles for all quad?
imqwerty
  • imqwerty
nt necessary
imqwerty
  • imqwerty
they may be similar they may be nt
danica518
  • danica518
why
imqwerty
  • imqwerty
wait.. if any 2 triangles in the quad. r similar then the other 2 must also be similar so the triangle must be a parallelogram nd if it is a paralle.. then the 2 opposite sides r equal nd the diagonal would also be equal. and if u do the calculations taking the case of a parallelogram nd try to find side lengths then the answers would be like negative sides.
imqwerty
  • imqwerty
@Empty

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