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04 Aug 2021, 06:30
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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:
45%
(medium)
Question Stats:
61% (01:32) correct
39%
(01:22)
wrong
based on 123
sessions
History
Date
Time
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Not Attempted Yet
In the figure above, what is the area of triangle ABD?
(1) h = 4
(2) Angle ABD = 60°
Attachment:
1.PNG [ 2.73 KiB | Viewed 2843 times ]
04 Aug 2021, 06:50
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Area of triangle ABD = 1/2(AD)(BD)
Since AD is perpendicular to BC, then CD=BD=2
Therefore we need to find length AD
Statement 1: h=4
Since angle D is 90 degrees, triangle ADB is a right triangle. We can use the Pythagorean theorem to find AD. Sufficient
Statement 2:Angle ABD = 60°
This means that triangle ABD is a 30-60-90 triangle. We have length BD, therefore we can find length AD. Sufficient
Answer: D
Since AD is perpendicular to BC, then CD=BD=2
Therefore we need to find length AD
Statement 1: h=4
Since angle D is 90 degrees, triangle ADB is a right triangle. We can use the Pythagorean theorem to find AD. Sufficient
Statement 2:Angle ABD = 60°
This means that triangle ABD is a 30-60-90 triangle. We have length BD, therefore we can find length AD. Sufficient
Answer: D
04 Aug 2021, 07:45
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File comment: C is the answer as explained in the attachment.
IMG_20210804_201435.jpg [ 4.1 MiB | Viewed 2649 times ]
