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Can someone help me with Geo Problem! Diagonal AC divides a trapezoid ABCD two similar triangles ABC and ACD. Find AC if BC=4cm and AD=9cm

Mathematics
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@ganeshie8 I need help
Are these triangles similar by area?

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Other answers:

Is not there any fig. for this?
I think it looks like this|dw:1356206771435:dw| the angles marked x are equal by alternate angles in parallel lines
|dw:1356207039082:dw|
Now what do i do?
have you provided whole information?
yes
I think there is something we r missing..
well the corresponding sides in the triangles are triangle ABC and triangle ACD are AB AC AB DC BC AD now you need to use the ratio's of corresponding sides in similar triangles
but ques. does'nt say that it divides the triangles in equal areas!
that's wat i was confirming earlier
AD:BC = 2.25
SIMILARITY CAN ONLY BE USED WHEN AREAS ARE EQUAL
oops corresponding side should be AC and DC so using the ratio of corresponding sides \[\frac{4}{9} = \frac{AB}{AC}= \frac{AC}{ DC}\]
what happens next?
who knows.... it doesn't make sense to me... there seems to be something missing from the question.
Oh, and triangles can be similar and have different areas the ratio will be the linear ratio squared. so the ratio of areas in the triangles is ABC:ACD = (4/9)^2
@ghazi is there missing info?
i am confused
wat r u confused about?
there is something missing in it

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