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Is the area of the triangle ABC ≥ 24 ? 1) Two of the Sides of the tri

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Is the area of the triangle ABC ≥ 24 ? 1) Two of the Sides of the tri  [#permalink]

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New post 08 Oct 2017, 21:36
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

46% (00:29) correct 54% (00:34) wrong based on 39 sessions

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Is the area of the triangle ABC ≥ 24 ?

1) Two of the Sides of the triangle ABC are 6 and 8
2) Triangle ABC is a right angle triangle


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Is the area of the triangle ABC ≥ 24 ? 1) Two of the Sides of the tri  [#permalink]

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New post 08 Oct 2017, 21:56
GMATinsight wrote:
Is the area of the triangle ABC ≥ 24 ?

1) Two of the Sides of the triangle ABC are 6 and 8
2) Triangle ABC is a right angle triangle


Source: http://www.GMATinsight.com


It should be E.

1- Insufficient - It tries to trick you into thinking \(\frac{1}{2}*6*8 = 24\) but we do not know if the triangle is a right triangle and/or if 6 and 8 are the largest sides.
2- Insufficient - No clue on dimensions of the triangle.

Combining 1 and 2, we still can have triangles where 8 is the hypotenuse of the right triangle which would make the third side smaller than 8 and consequently area less than 24. If 8 and 6 do form the right sides (not the hypotenuse), then area would be 24 so even combining the two does not provide us a definitive answer.
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Is the area of the triangle ABC ≥ 24 ? 1) Two of the Sides of the tri &nbs [#permalink] 08 Oct 2017, 21:56
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