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Current Student D
Joined: 12 Aug 2015
Posts: 2567
Schools: Boston U '20 (M)
GRE 1: Q169 V154 If three sides of the triangle are 8 , 15 and x respectively then the  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 56% (01:07) correct 44% (01:34) wrong based on 106 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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Math Expert V
Joined: 02 Sep 2009
Posts: 58453
Re: If three sides of the triangle are 8 , 15 and x respectively then the  [#permalink]

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Manager  G
Joined: 12 Jun 2016
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Location: India
WE: Sales (Telecommunications)
Re: If three sides of the triangle are 8 , 15 and x respectively then the  [#permalink]

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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.

PS: If question said X can take only integer value, the X = 9. Answer choice D.
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VP  D
Joined: 09 Mar 2016
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Re: If three sides of the triangle are 8 , 15 and x respectively then the  [#permalink]

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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.

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 ? Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3333
Location: India
GPA: 3.12
Re: If three sides of the triangle are 8 , 15 and x respectively then the  [#permalink]

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1
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.

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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You've got what it takes, but it will take everything you've got 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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If three sides of the triangle are 8 , 15 and x respectively then the

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