In the figure to the right, if point C is the center of the circle and DB = 7, what is the length of DE in triangle EDB?
(1) x = 60°
(2) DE || CA
OA after some discussion
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- Ozlemg
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IMO D.
Statement 1 helps us to figure out that AC // DE. So we can solve the prolem.
Statement 2 is also sufficient. (Property of similarity in triangles)
Thanks
Statement 1 helps us to figure out that AC // DE. So we can solve the prolem.
Statement 2 is also sufficient. (Property of similarity in triangles)
Thanks
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hi OzlemgOzlemg wrote:IMO D.
Statement 1 helps us to figure out that AC // DE. So we can solve the prolem.
Statement 2 is also sufficient. (Property of similarity in triangles)
Thanks
can you elaborate how you established that AC||DE using st 1?i am a bit confused
thanks
It doesn't. Yes, internal angles of triangle ABC are 60° each, but try to visualize 'E' as just beyond 'A' on BA. It doesn't violate Statement 1, and DE != 7.Ozlemg wrote:IMO D.
Statement 1 helps us to figure out that AC // DE. So we can solve the prolem.
The correct answer is B.
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Indeed the correct answer is B
in order to determine the length of DE, the only way is to figure out whether DE is parallel AC.
option 1 doesnt reveal this.
option 2 gives us the answer.
just for info , if DE//AC and AB:AD =m:n
Then,
AC = m/(m+n) DE
in order to determine the length of DE, the only way is to figure out whether DE is parallel AC.
option 1 doesnt reveal this.
option 2 gives us the answer.
just for info , if DE//AC and AB:AD =m:n
Then,
AC = m/(m+n) DE
Thanks,
Sandeep
Sandeep