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imqwerty

  • one year ago

help :(

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  1. imqwerty
    • one year ago
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    We have a quadrilateral ABCD with AB+CD+AC=20cm and the area of quadrilateral is 50cm^2. Find the length of diagonal BD.

  2. Loser66
    • one year ago
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    @phi

  3. phi
    • one year ago
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    Does this question have a figure ? If so, can you post it or a sketch?

  4. imqwerty
    • one year ago
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    ok wait

  5. imqwerty
    • one year ago
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    |dw:1437311000849:dw|

  6. phi
    • one year ago
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    yes, it will take some musing.

  7. imqwerty
    • one year ago
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    my math professor gave me this question...he has a hole lot of such amusing questions. :)

  8. phi
    • one year ago
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    what techniques have you been studying? maybe there is a hint there?

  9. imqwerty
    • one year ago
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    we've been studying- solutions of triangles trignometry sequences nd series

  10. phi
    • one year ago
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    If I get any bright ideas, I'll post it.

  11. imqwerty
    • one year ago
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    ok thanks :)

  12. imqwerty
    • one year ago
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    ok

  13. danica518
    • one year ago
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    DANG MAN

  14. danica518
    • one year ago
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    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

  15. danica518
    • one year ago
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    it has to be the key to getting an expression for some unknowns

  16. danica518
    • one year ago
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    |dw:1437239446838:dw|

  17. danica518
    • one year ago
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    uh lets just take some arb values see a possiblity

  18. danica518
    • one year ago
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    do you think we have to give him like an expression for the solution

  19. danica518
    • one year ago
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    like this this Z shape for instance

  20. danica518
    • one year ago
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    we can reshape the Z in many ways and still maintain 50 cm^2 i think there is no problem with that

  21. danica518
    • one year ago
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    |dw:1437239633806:dw|

  22. imqwerty
    • one year ago
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    we have to give direct numerical answer nt an expression..thanks fr helping :)

  23. danica518
    • one year ago
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    |dw:1437239689188:dw|

  24. danica518
    • one year ago
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    but look at this, this illustration atleast tells us there have to be multiple possiblities

  25. danica518
    • one year ago
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    if i vary the angles between the lines that form Z, and vary the lengths incolved in eaach segment of the Z

  26. danica518
    • one year ago
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    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

  27. danica518
    • one year ago
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    oh maybe it comes down to the possible hypotenuse u can even form with a triangle

  28. danica518
    • one year ago
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    oh that could be helpful, we should consider the possible legs of a triangle and the maximum area they can produce

  29. danica518
    • one year ago
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    |dw:1437239899601:dw|

  30. imqwerty
    • one year ago
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    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.

  31. danica518
    • one year ago
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    |dw:1437240237972:dw|

  32. danica518
    • one year ago
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    lets see if we can rewrite the area expression with respect to theta and phi now with the diagonal length changes

  33. danica518
    • one year ago
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    |dw:1437240322515:dw|

  34. danica518
    • one year ago
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    what can you saw about the opposite angles wrt to theta and phi?

  35. danica518
    • one year ago
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    |dw:1437240370715:dw|

  36. danica518
    • one year ago
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    are there pair of similiar triangles for all quad?

  37. imqwerty
    • one year ago
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    nt necessary

  38. imqwerty
    • one year ago
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    they may be similar they may be nt

  39. danica518
    • one year ago
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    why

  40. imqwerty
    • one year ago
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    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.

  41. imqwerty
    • one year ago
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    @Empty

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