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msingh

two equal circles of radius 5 cm have two common tangent AB and CD which touch the circle on A, C and B, D respectively and if CD = 24 cm, find the length of AB.

  • one year ago
  • one year ago

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  1. msingh
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    |dw:1358505912245:dw|

    • one year ago
  2. AravindG
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    interesting :)

    • one year ago
  3. AravindG
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    can i know what did you attempt here?

    • one year ago
  4. ParthKohli
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    can i know what was your attempt here?

    • one year ago
  5. msingh
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    in a traingle bcd, i apply pythagoras theorem

    • one year ago
  6. msingh
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    CD^2=BC^2+BD^2

    • one year ago
  7. AravindG
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    but how you got CD?

    • one year ago
  8. msingh
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    it is given

    • one year ago
  9. msingh
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    24^2=BC^2+5^2

    • one year ago
  10. AravindG
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    ok

    • one year ago
  11. AravindG
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    ok you see for getting AB we need to take one more triangle.can you tell which one that will be?

    • one year ago
  12. msingh
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    i don't know

    • one year ago
  13. msingh
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    • one year ago
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  14. AravindG
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    well try to think of a triangle containing AB

    • one year ago
  15. AravindG
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    a right angled one

    • one year ago
  16. msingh
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    plse see this diagram..

    • one year ago
  17. AravindG
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    yep i saw

    • one year ago
  18. msingh
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    do u think taking a triangle BCD is right

    • one year ago
  19. msingh
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    okay...wait ..the other triangle be ABC.

    • one year ago
  20. AravindG
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    wait a sec...

    • one year ago
  21. AravindG
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    to make things clear join OB

    • one year ago
  22. AravindG
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    where O is centre

    • one year ago
  23. msingh
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    k

    • one year ago
  24. AravindG
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    in btw hw did u get bcd as rt angled ? :P

    • one year ago
  25. msingh
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    that's why i m saying i m wrong , we can't take tr.BCD

    • one year ago
  26. Anuska
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    ob n od shld b joined

    • one year ago
  27. AravindG
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    yeh :)

    • one year ago
  28. AravindG
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    join OA also

    • one year ago
  29. AravindG
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    i will try my best to draw that

    • one year ago
  30. Anuska
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    yea thn tk d triangle AOD

    • one year ago
  31. Anuska
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    & thn apply d theorem

    • one year ago
  32. Anuska
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    ad^2= oa^2+od^2

    • one year ago
  33. AravindG
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    @msingh i hand over this one to her :) seeya

    • one year ago
  34. msingh
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    k

    • one year ago
  35. msingh
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    vat is value of AD and OA

    • one year ago
  36. Anuska
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    oa is 5

    • one year ago
  37. msingh
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    how

    • one year ago
  38. msingh
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    OA is not a radius

    • one year ago
  39. AravindG
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    well msing we need to use property of tangents from same point i guess

    • one year ago
  40. AravindG
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    lemme try this on properly ...

    • one year ago
  41. AravindG
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    *on paper

    • one year ago
  42. sirm3d
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    draw a segment joining the centers.

    • one year ago
  43. msingh
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    |dw:1358508030734:dw|

    • one year ago
  44. AravindG
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    nice one @sirm3d

    • one year ago
  45. sirm3d
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    |dw:1358508121964:dw|

    • one year ago
  46. AravindG
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    isnt OO'=AB @sirm3d ?

    • one year ago
  47. sirm3d
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    that's right. O'O = AB

    • one year ago
  48. AravindG
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    ABOO' is a rectangle it seems

    • one year ago
  49. AravindG
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    my first attempt on this question wasnt as succesful as i thought .well this one was nice :)

    • one year ago
  50. AravindG
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    @msingh any doubts here?

    • one year ago
  51. msingh
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    when the triangle are congruent, vat after that

    • one year ago
  52. msingh
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    AO'=BO =5cm CD=24cm

    • one year ago
  53. AravindG
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    find OO' using that !!

    • one year ago
  54. msingh
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    CP= CD/2=24/2=12

    • one year ago
  55. sirm3d
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    OP=12 because the triangles O'CP and ODP are congruent

    • one year ago
  56. msingh
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    k

    • one year ago
  57. sirm3d
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    oops. i meant CP=DP =12

    • one year ago
  58. AravindG
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    Find OP 2OP =OO'

    • one year ago
  59. sirm3d
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    use pythagorean theorem to find the length of hypotenuse OP of triangle ODP

    • one year ago
  60. msingh
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    O'P =13cm

    • one year ago
  61. msingh
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    OO' = 26cm=AB

    • one year ago
  62. sirm3d
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    right you are!

    • one year ago
  63. AravindG
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    :) WELL DONE

    • one year ago
  64. msingh
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    thank u @AravindG and @sirm3d

    • one year ago
  65. AravindG
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    yw :)

    • one year ago
  66. AravindG
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    i liked @sirm3d novelty :P

    • one year ago
  67. sirm3d
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    yw.

    • one year ago
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