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shubhamsrg

  • 2 years ago

ABC is a triangle inscribed in a cirlce. AD and AE are straight lines drawn from A to the base BC parallel to the tangents at B and C respectively. given AB=5, AC=6 and CE=9 ,find length of BD

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  1. shubhamsrg
    • 2 years ago
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    now there are 2 figures possible of this : |dw:1350459104532:dw| OR

  2. shubhamsrg
    • 2 years ago
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    |dw:1350459323053:dw|

  3. sauravshakya
    • 2 years ago
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    |dw:1350459526913:dw|

  4. sauravshakya
    • 2 years ago
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    I think that will lead to the solution.

  5. sauravshakya
    • 2 years ago
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    Triangle AEC , ADB and ABC are similar triangles.

  6. shubhamsrg
    • 2 years ago
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    how are they similar ?

  7. shubhamsrg
    • 2 years ago
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    and how did you get <A = @ ?

  8. sauravshakya
    • 2 years ago
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    Angle between a tangent and a chord at the point of contact is equal to the opposite inscribed angle.

  9. sauravshakya
    • 2 years ago
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    Also, AE=ED

  10. sauravshakya
    • 2 years ago
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    |dw:1350460037538:dw|

  11. shubhamsrg
    • 2 years ago
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    ohh,,so sorry !! from tge last 1/2 hr..i have been making the same mistake!!

  12. shubhamsrg
    • 2 years ago
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    yep..clear so far..

  13. sauravshakya
    • 2 years ago
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    So, Now can u?

  14. shubhamsrg
    • 2 years ago
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    allow me to try.

  15. sauravshakya
    • 2 years ago
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    OKAY!

  16. shubhamsrg
    • 2 years ago
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    cosine law right ?

  17. sauravshakya
    • 2 years ago
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    Nope.

  18. sauravshakya
    • 2 years ago
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    Similar triangles will do it.

  19. shubhamsrg
    • 2 years ago
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    why will they be similar? AEC and ADB ?

  20. shubhamsrg
    • 2 years ago
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    only 1 angle is common,,what else?

  21. shubhamsrg
    • 2 years ago
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    not common,,i mean equal*

  22. sauravshakya
    • 2 years ago
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    |dw:1350460670165:dw|

  23. sauravshakya
    • 2 years ago
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    First show triangle ABC and triangle AEC similar

  24. shubhamsrg
    • 2 years ago
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    i dont guess they are ? are they ?

  25. sauravshakya
    • 2 years ago
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    Triangle ABC and triangle AEC are similar....... u got this?

  26. shubhamsrg
    • 2 years ago
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    nops? which angle equals which in that similarity ?

  27. shubhamsrg
    • 2 years ago
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    ohh..got it,,got it..

  28. shubhamsrg
    • 2 years ago
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    ahh i see,,all 3 are similar then

  29. sauravshakya
    • 2 years ago
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    @shubhamsrg u got that?

  30. shubhamsrg
    • 2 years ago
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    yes i understand now..

  31. shubhamsrg
    • 2 years ago
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    and i got the ans.. its 25/4 .. thanks a ton1

  32. sauravshakya
    • 2 years ago
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    Welcome buddy

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