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A triangle has sides 12, 6, and z. Which of the following cannot be th

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A triangle has sides 12, 6, and z. Which of the following cannot be th  [#permalink]

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New post 02 Sep 2018, 20:55
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (00:58) correct 17% (01:03) wrong based on 32 sessions

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Re: A triangle has sides 12, 6, and z. Which of the following cannot be th  [#permalink]

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New post 02 Sep 2018, 22:11
Not sure but the property is that the third side x will follow this

6 < x < 18

x can be 7,8,9....17

So bcd are out.

Confused between A and E

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Re: A triangle has sides 12, 6, and z. Which of the following cannot be th  [#permalink]

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New post 02 Sep 2018, 22:14
saurabh9gupta wrote:
Not sure but the property is that the third side x will follow this

6 < x < 18

x can be 7,8,9....17

So bcd are out.

Confused between A and E

Posted from my mobile device

x can be any number greater than 6, and not just integers.
Hence x can b 6.00001 or 17.999
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Re: A triangle has sides 12, 6, and z. Which of the following cannot be th  [#permalink]

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New post 03 Sep 2018, 07:39
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Bunuel wrote:
A triangle has sides 12, 6, and z. Which of the following cannot be the perimeter of the triangle?

A. 24
B. 28
C. 30
D. 35
E. 35.5


\(6 < 3^{rd} Side < 18\)

So, The range of perimeter must be \(24 < Perimeter < 36\)

Hence, Answer must be (A) 24
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Re: A triangle has sides 12, 6, and z. Which of the following cannot be th  [#permalink]

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New post 11 Sep 2018, 16:12
Bunuel wrote:
A triangle has sides 12, 6, and z. Which of the following cannot be the perimeter of the triangle?

A. 24
B. 28
C. 30
D. 35
E. 35.5


The two sides 12 and 6 sum to 18. Since the sum of any 2 sides of a triangle must be greater than the third, we see that the third side of the triangle must be greater than 6, and thus the perimeter must be greater than 24. So 24 can’t be the perimeter of the triangle.

Answer: A
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Re: A triangle has sides 12, 6, and z. Which of the following cannot be th   [#permalink] 11 Sep 2018, 16:12
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A triangle has sides 12, 6, and z. Which of the following cannot be th

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