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In the circle with center C above, what is the area of right triangle

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In the circle with center C above, what is the area of right triangle [#permalink]

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Difficulty:

  35% (medium)

Question Stats:

69% (01:32) correct 31% (00:54) wrong based on 80 sessions

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In the circle with center C above, what is the area of right triangle ACE?

(1) AE equals 16 inches.
(2) BD equals 12 inches.

[Reveal] Spoiler:
Attachment:
2016-01-24_1720.png
2016-01-24_1720.png [ 6.05 KiB | Viewed 844 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 135562 [1], given: 12699

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Re: In the circle with center C above, what is the area of right triangle [#permalink]

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New post 26 Jan 2016, 22:29
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Bunuel wrote:
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In the circle with center C above, what is the area of right triangle ACE?

(1) AE equals 16 inches.
(2) BD equals 12 inches.

[Reveal] Spoiler:
Attachment:
2016-01-24_1720.png


Area of ACE=1/2*AE*CE

Statement 1: AE=16, but no info about CE is given so insufficient

Statement 2: BD=12, thus BC=1/2*BD=6, but no info about AE and CE, insufficient

1&2 together: we have AE but we donot have sufficient data to calculate value of CE, so insufficient.

IMO answer is E

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Re: In the circle with center C above, what is the area of right triangle [#permalink]

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New post 27 Nov 2017, 22:24
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Area of right triangle ACE = 1/2 * AE * CE

(1) AE = 16, but we cannot find CE on the basis of this data. Insufficient.

(2) BD = 12. This is the diameter of the circle. So we know radius = BC = CD = 6. But we cannot find CE or AE on the basis of this. Insufficient.

After combining the two statements, we still have no way to find CE. IF we had AB, then AC would be known (AB+BC). And then we could have calculate the area (we have two sides, third side of right angle triangle can be calculated using pythagoras, and area can be determined). But AB is not given. Insufficient.

Hence E answer

Kudos [?]: 183 [1], given: 285

Re: In the circle with center C above, what is the area of right triangle   [#permalink] 27 Nov 2017, 22:24
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In the circle with center C above, what is the area of right triangle

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