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23 Jul 2017, 23:20
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
58% (02:10) correct
42%
(02:21)
wrong
based on 127
sessions
History
Date
Time
Result
Not Attempted Yet
In the diagram below, a rectangle ABCD is drawn inside a semicircle. What is the length of AB?
(1) The radius of the semicircle is 10.
(2) AB : BD = 3 : 2
2017-07-24_1020.png [ 5.09 KiB | Viewed 3861 times ]
(1) The radius of the semicircle is 10.
(2) AB : BD = 3 : 2
Attachment:
2017-07-24_1020.png [ 5.09 KiB | Viewed 3861 times ]
24 Jul 2017, 01:28
Kudos
Bookmarks
Bunuel
(1) If we know the length of the radius of the semicircle, we could know the length of OA and OB. However, we can't know the length of AB. Insufficient.
(2) If AB : BD = 3 : 2, since AB = 2 * OD, we have OD : BD = 1.5 : 2 = 3 : 4.
In right triangle OBD, since we know the ratio of OD and BD, we could calculate the length of AB based on the length of OD. However, we can't know exactly what the length of OD is. So insufficient.
Combine (1) and (2): We could easily calculate the length of AB. Sufficient.
THe answer is C.
27 Apr 2018, 16:04
Kudos
Bookmarks
broall
We have got the length of the OA from where we can use the notation of 1:√3:2 and find the length of the OC.Where the OC is midpoint of rectangle.From there AB can be determined.Please point out where i am getting me wrong.
