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805+ (Hard)|   Geometry|      
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Bunuel
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Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
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Triangle ABC has AB = 2*AC. Let D and E be on AB and BC, respectively, 29 Mar 2019, 02:04
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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95% (hard)

Question Stats:

51% (03:04) correct 49% (03:12) wrong based on 87 sessions

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Triangle ABC has AB = 2*AC. Let D and E be on AB and BC, respectively, such that angle BAE = angle ACD. Let F be the intersection of segments AE and CD, and suppose that triangle CFE is equilateral. What is angle ACB?

(A) 60°
(B) 75°
(C) 90°
(D) 105°
(E) 120°
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C
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Archit3110
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Triangle ABC has AB = 2*AC. Let D and E be on AB and BC, respectively, 29 Mar 2019, 08:21
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Bunuel
Triangle ABC has AB = 2*AC. Let D and E be on AB and BC, respectively, such that angle BAE = angle ACD. Let F be the intersection of segments AE and CD, and suppose that triangle CFE is equilateral. What is angle ACB?

(A) 60°
(B) 75°
(C) 90°
(D) 105°
(E) 120°
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draw fig as per given info
we shall get angle BAE= 30 = angle ACD
and angle FCE= 60
so angle ACB = 90
IMO C
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PgRaul
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Triangle ABC has AB = 2*AC. Let D and E be on AB and BC, respectively, 29 Dec 2020, 20:27
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https://artofproblemsolving.com/wiki/in ... /Problem_8
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CEdward
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Triangle ABC has AB = 2*AC. Let D and E be on AB and BC, respectively, 17 Feb 2021, 20:15
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I drew it as follows. Wondering what I did wrong...I got E as the answer...
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File comment: TRIANGLE ABC
abc.docx [27.56 KiB]
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frankgraves
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Triangle ABC has AB = 2*AC. Let D and E be on AB and BC, respectively, 18 Feb 2021, 01:03
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Bunuel
Triangle ABC has AB = 2*AC. Let D and E be on AB and BC, respectively, such that angle BAE = angle ACD. Let F be the intersection of segments AE and CD, and suppose that triangle CFE is equilateral. What is angle ACB?

(A) 60°
(B) 75°
(C) 90°
(D) 105°
(E) 120°
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I got C but I did not use the information of "Triangle ABC has AB = 2*AC"
Now I am wondering what is the use of that information, can you tell me Bunuel ?
Thank you.
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Triangle ABC has AB = 2*AC. Let D and E be on AB and BC, respectively, 05 Sep 2024, 13:40
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