shubhamsrg
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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shubhamsrg
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now there are 2 figures possible of this :
|dw:1350459104532:dw|
OR
shubhamsrg
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|dw:1350459323053:dw|
sauravshakya
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|dw:1350459526913:dw|
sauravshakya
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I think that will lead to the solution.
sauravshakya
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Triangle AEC , ADB and ABC are similar triangles.
shubhamsrg
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how are they similar ?
shubhamsrg
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and how did you get <A = @ ?
sauravshakya
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Angle between a tangent and a chord at the point of contact is equal to the opposite inscribed angle.
sauravshakya
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Also, AE=ED
sauravshakya
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|dw:1350460037538:dw|
shubhamsrg
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ohh,,so sorry !!
from tge last 1/2 hr..i have been making the same mistake!!
shubhamsrg
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yep..clear so far..
sauravshakya
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So, Now can u?
shubhamsrg
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allow me to try.
sauravshakya
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OKAY!
shubhamsrg
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cosine law right ?
sauravshakya
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Nope.
sauravshakya
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Similar triangles will do it.
shubhamsrg
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why will they be similar? AEC and ADB ?
shubhamsrg
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only 1 angle is common,,what else?
shubhamsrg
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not common,,i mean equal*
sauravshakya
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|dw:1350460670165:dw|
sauravshakya
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First show triangle ABC and triangle AEC similar
shubhamsrg
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i dont guess they are ? are they ?
sauravshakya
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Triangle ABC and triangle AEC are similar....... u got this?
shubhamsrg
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nops? which angle equals which in that similarity ?
shubhamsrg
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ohh..got it,,got it..
shubhamsrg
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ahh i see,,all 3 are similar then
sauravshakya
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@shubhamsrg u got that?
shubhamsrg
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yes i understand now..
shubhamsrg
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and i got the ans..
its 25/4 ..
thanks a ton1
sauravshakya
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Welcome buddy