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20 Feb 2017, 03:28
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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)!
Difficulty:
15%
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Question Stats:
81% (01:01) correct
19%
(01:08)
wrong
based on 122
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In ΔABC shown above, if ΔCAB equals 30°, then what is the area of the triangle?
A. 2
B. 2 \(\sqrt{2}\)
C. 2 \(\sqrt{3}\)
D. 3 \(\sqrt{2}\)
E. 4
A. 2
B. 2 \(\sqrt{2}\)
C. 2 \(\sqrt{3}\)
D. 3 \(\sqrt{2}\)
E. 4
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20 Feb 2017, 07:39
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SajjadAhmad
In ΔABC shown above, if ΔCAB equals 30°, then what is the area of the triangle?
A. 2
B. 2 \(\sqrt{2}\)
C. 2 \(\sqrt{3}\)
D. 3 \(\sqrt{2}\)
E. 4
A. 2
B. 2 \(\sqrt{2}\)
C. 2 \(\sqrt{3}\)
D. 3 \(\sqrt{2}\)
E. 4
its a 30-60-90 triangle with sides in ratio x:√3: 2x
where x=2 thus AB = 2√3
area = 1*2√3*2/2 = 2√3
Ans C
20 Feb 2017, 08:34
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SajjadAhmad
In ΔABC shown above, if ΔCAB equals 30°, then what is the area of the triangle?
A. 2
B. 2 \(\sqrt{2}\)
C. 2 \(\sqrt{3}\)
D. 3 \(\sqrt{2}\)
E. 4
A. 2
B. 2 \(\sqrt{2}\)
C. 2 \(\sqrt{3}\)
D. 3 \(\sqrt{2}\)
E. 4
We need to use the property 30 - 60 - 90 of triangles in which ratio of sides is 1:\(\sqrt{3}\):2
Side opposite to angle 30 is 2
so Side opposite to angle 60 is 2\(\sqrt{3}\)
and Side opposite to angle 90 is 4
Area = (1/2)*2*(2\(\sqrt{3}\)) = 2\(\sqrt{3}\)
Answer: Option C
