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Which of the following cannot be the area of the triangle?

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Manager
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S
Joined: 10 Dec 2011
Posts: 94

Kudos [?]: 35 [0], given: 60

Location: India
Concentration: Finance, Economics
GMAT Date: 09-28-2012
WE: Accounting (Manufacturing)
Which of the following cannot be the area of the triangle? [#permalink]

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New post 14 Sep 2017, 10:43
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E

Difficulty:

  45% (medium)

Question Stats:

57% (00:23) correct 43% (01:04) wrong based on 7 sessions

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Which of the following cannot be the area of the triangle whose 2 sides are given as 6 & 8?
A. 0.0025
B. 8
C. 16
D. 24
E. 32


Please provide the explanation too.
Cheers!!!


Ps: I doubt it is official question. However, I have the answer. It was taught in my class :p
[Reveal] Spoiler: OA

Kudos [?]: 35 [0], given: 60

Director
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Joined: 25 Feb 2013
Posts: 542

Kudos [?]: 247 [0], given: 33

Location: India
Schools: Mannheim"19 (S)
GPA: 3.82
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Which of the following cannot be the area of the triangle? [#permalink]

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New post 14 Sep 2017, 11:34
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talismaaniac wrote:
Which of the following cannot be the area of the triangle whose 2 sides are given as 6 & 8?
A. 0.0025
B. 8
C. 16
D. 24
E. 32


Please provide the explanation too.
Cheers!!!


Ps: I doubt it is official question. However, I have the answer. It was taught in my class :p


A triangle can have any area less than or equal to its maximum possible area.
The maximum possible area of this triangle will be, if the triangle is a right angled triangle with base and height as 6 & 8
So the maximum area \(= \frac{1}{2}*6*8 = 24\)
Hence the triangle cannot have area of 32 as it is greater than 24

Option E

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Joined: 14 Sep 2017
Posts: 1

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Re: Which of the following cannot be the area of the triangle? [#permalink]

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New post 14 Sep 2017, 11:37
32. The greatest area possible is 24, so anything greater than that cannot happen. As for the smallest value, i think that it approaches zero as smallest possible triangle formed with 6 and 8 is 6,8,2.00001 etc. if we keep decreasing the angle between the 6 and 8 sides the height approaches zero which means an answer like 0.0025 can happen. This is my first answer btw (be kind). :)


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Re: Which of the following cannot be the area of the triangle?   [#permalink] 14 Sep 2017, 11:37
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Which of the following cannot be the area of the triangle?

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