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

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Joined: 12 Aug 2015
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Schools: Boston U '20 (M)
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If three sides of the triangle are 8 , 15 and x respectively then the  [#permalink]

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01 Apr 2016, 04:29
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45% (medium)

Question Stats:

57% (01:07) correct 43% (01:35) wrong based on 104 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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Re: If three sides of the triangle are 8 , 15 and x respectively then the  [#permalink]

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01 Apr 2016, 04:51
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Re: If three sides of the triangle are 8 , 15 and x respectively then the  [#permalink]

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26 Jun 2016, 05:30
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.

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

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21 Oct 2018, 03:03
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.

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]

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21 Oct 2018, 07:12
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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Re: If three sides of the triangle are 8 , 15 and x respectively then the   [#permalink] 21 Oct 2018, 07:12
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