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

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Manager
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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14 Sep 2017, 10:43
00:00

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

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
Joined: 25 Feb 2013
Posts: 542

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

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

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14 Sep 2017, 11:34
1
This post was
BOOKMARKED
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

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

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

Intern
Joined: 14 Sep 2017
Posts: 1

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

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

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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).

Sent from my iPhone using GMAT Club Forum mobile app

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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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