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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

Mathematics
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now there are 2 figures possible of this : |dw:1350459104532:dw| OR
|dw:1350459323053:dw|
|dw:1350459526913:dw|

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Other answers:

I think that will lead to the solution.
Triangle AEC , ADB and ABC are similar triangles.
how are they similar ?
and how did you get
Angle between a tangent and a chord at the point of contact is equal to the opposite inscribed angle.
Also, AE=ED
|dw:1350460037538:dw|
ohh,,so sorry !! from tge last 1/2 hr..i have been making the same mistake!!
yep..clear so far..
So, Now can u?
allow me to try.
OKAY!
cosine law right ?
Nope.
Similar triangles will do it.
why will they be similar? AEC and ADB ?
only 1 angle is common,,what else?
not common,,i mean equal*
|dw:1350460670165:dw|
First show triangle ABC and triangle AEC similar
i dont guess they are ? are they ?
Triangle ABC and triangle AEC are similar....... u got this?
nops? which angle equals which in that similarity ?
ohh..got it,,got it..
ahh i see,,all 3 are similar then
@shubhamsrg u got that?
yes i understand now..
and i got the ans.. its 25/4 .. thanks a ton1
Welcome buddy

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