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ABCD is a square and one of its sides AB is also a chord of
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21 Sep 2018, 09:59
21 Sep 2018, 09:59
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Question Stats:
80% (00:40) correct
20% (00:18) wrong based on 25 sessions
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#GREpracticequestion ABCD is a square and one of its sides AB.jpg [ 30.59 KiB | Viewed 5588 times ]
ABCD is a square and one of its sides AB is also a chord of the circle as shown in the figure. What is the area of the square?
(A) 3
(B) 9
(C) 12
(D) 12 \(\sqrt{2}\)
(E) 18
Re: ABCD is a square and one of its sides AB is also a chord of
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25 Sep 2018, 19:37
25 Sep 2018, 19:37
1
Triangle AOB is an isosceles right triangle. The angles in 45-45-90 triangles are in the ratio \(x:x:x\sqrt{2}\)
x=3 therefore, \(x\sqrt{2}=3\sqrt{2}\)
the hypotenuse of the triangle is also a side of the square.
Therefore, area of the square \(=l^2= 9*2 = 18\)
x=3 therefore, \(x\sqrt{2}=3\sqrt{2}\)
the hypotenuse of the triangle is also a side of the square.
Therefore, area of the square \(=l^2= 9*2 = 18\)
gmatclubot
Re: ABCD is a square and one of its sides AB is also a chord of [#permalink]
25 Sep 2018, 19:37
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