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If three sides of the triangle are 8 , 15 and x respectively then the

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stonecold
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If three sides of the triangle are 8 , 15 and x respectively then the [#permalink] New post   01 Apr 2016, 05:29
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56% (01:13) correct 44% (01:30) wrong based on 122 sessions
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If three sides of the triangle are 8 , 15 and x respectively then the how many values can x ?
[A] 6
[B] 7
[C] 8
[D]9
[E] infinite number of values
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E
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Bunuel
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Re: If three sides of the triangle are 8 , 15 and x respectively then the [#permalink] New post   01 Apr 2016, 05:51
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Chiragjordan wrote:
If three sides of the triangle are 8 , 15 and x respectively then the how many values can x ?
[A] 6
[B] 7
[C] 8
[D]9
[E] infinite number of values


Not a GMAT-like question.

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Re: If three sides of the triangle are 8 , 15 and x respectively then the [#permalink] New post   26 Jun 2016, 06:30
Given: Three sides of a Triangle are 8, 15 and X
Needed: How many Values can X take
Concept: Sum of any two sides of a triangle is greater then the third side.

Case 1: 8+5 > x => X<13
Case 2: 5+X > 8 => X >3
Case 3: 8+X > 5 => X > -3 (Always true since X is one side of a Triangle)

Finally, 3 < X < 13. So, we can have infinite number of sides between 3 and 13.

Answer = E

PS: If question said X can take only integer value, the X = 9. Answer choice D.
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dave13
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Re: If three sides of the triangle are 8 , 15 and x respectively then the [#permalink] New post   21 Oct 2018, 04:03
susheelh wrote:
Given: Three sides of a Triangle are 8, 15 and X
Needed: How many Values can X take
Concept: Sum of any two sides of a triangle is greater then the third side.

Case 1: 8+5 > x => X<13
Case 2: 5+X > 8 => X >3
Case 3: 8+X > 5 => X > -3 (Always true since X is one side of a Triangle)

Finally, 3 < X < 13. So, we can have infinite number of sides between 3 and 13.

Answer = E

PS: If question said X can take only integer value, the X = 9. Answer choice D.



how can it be infinite if 3 < X < 13 X is between 3 and 13 the range of values is limited, isnt it ? :?
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Re: If three sides of the triangle are 8 , 15 and x respectively then the [#permalink] New post   21 Oct 2018, 08:12
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dave13 wrote:
susheelh wrote:
Given: Three sides of a Triangle are 8, 15 and X
Needed: How many Values can X take
Concept: Sum of any two sides of a triangle is greater then the third side.

Case 1: 8+5 > x => X<13
Case 2: 5+X > 8 => X >3
Case 3: 8+X > 5 => X > -3 (Always true since X is one side of a Triangle)

Finally, 3 < X < 13. So, we can have infinite number of sides between 3 and 13.

Answer = E

PS: If question said X can take only integer value, the X = 9. Answer choice D.

how can it be infinite if 3 < X < 13 X is between 3 and 13 the range of values is limited, isnt it ? :?


dave13 - Your answer is in the post that you have quoted
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gmatclubot
Re: If three sides of the triangle are 8 , 15 and x respectively then the [#permalink]
21 Oct 2018, 08:12
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