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Sreyoshi007
Joined: 01 Feb 2018
Last visit: 18 Mar 2019
Posts: 81
Given Kudos: 769
Location: India
Schools: ISB '20 (WA) NUS '21 (I) NTU '20 (D)
GMAT 1: 700 Q47 V38
WE:Consulting (Consulting)
26 Sep 2018, 02:47
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
79% (01:42) correct
21%
(01:59)
wrong
based on 153
sessions
History
Date
Time
Result
Not Attempted Yet
In the figure below, AD = 3. What is the length of AC?
A. 3
B. \(3\sqrt{3}\)
C. 6
D. \(6\sqrt{2}\)
E. 12
Attachment:
Geo.PNG [ 11.27 KiB | Viewed 5456 times ]
26 Sep 2018, 03:01
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Sreyoshi007
BDA is a rt triangle with angles 30:60:90 and therefore the sides will be in the ratio
1:\(\sqrt{3}\):2
1p=3
p=3
BA = 6 and
BD = 3\(\sqrt{3}\)
similarly triangle DBC is a rt triangle with angles 30:60:90
where
BD = 3\(\sqrt{3}\)
DC = \(\sqrt{3}\) * 3\(\sqrt{3}\) = 9
AC = DC + AD = 12
19 Oct 2018, 08:26
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Sreyoshi007
Key Concept: In a 30-60-90 triangle, the hypotenuse is twice the length of the side opposite the 30° angle.
Side AD is opposite the 30° angle
Since AD = 3, the hypotenuse AB must have length 6
Now focus on the red 30-60-90 triangle
Here, side AB is opposite the 30° angle, and side AB has length 6
So, the hypotenuse AC must have length 12
Answer: E
21 Apr 2021, 13:18
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