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Retired Moderator

Joined: **07 Jun 2014 **

Posts: **4804**

WE:**Business Development (Energy and Utilities)**

If the lengths of two sides of a triangle are 5 and 9,
[#permalink]
16 Dec 2015, 04:18

1

Expert Reply

Question Stats:

If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third side of the triangle?

Indicate all such lengths.

A. 3

B. 5

C. 8

D. 15

_________________

Indicate all such lengths.

A. 3

B. 5

C. 8

D. 15

Practice Questions

Question: 13

Page: 154

Difficulty: medium

Question: 13

Page: 154

Difficulty: medium

_________________

Sandy

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Retired Moderator

Joined: **07 Jun 2014 **

Posts: **4804**

WE:**Business Development (Energy and Utilities)**

Re: lengths of two sides of a triangle are 5 and 9
[#permalink]
16 Dec 2015, 04:24

Expert Reply

Solution

Knowing the rule that the third side of a triangle must be no longer than the sum of the other two and not shortest of their difference

So the answer is \(B\) and \(C\)

_________________

Sandy

If you found this post useful, please let me know by pressing the Kudos Button

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Knowing the rule that the third side of a triangle must be no longer than the sum of the other two and not shortest of their difference

So the answer is \(B\) and \(C\)

_________________

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Manager

Joined: **10 Apr 2016 **

Status:**Professional GRE Tutor since 2002**

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Re: lengths of two sides of a triangle are 5 and 9
[#permalink]
10 Apr 2016, 21:16

3

Expert Reply

Third Side Rule for Triangles:

If a and b represent two sides of a triangle, then the third side c must lie between their absolute-value difference \((a-b)\) and their sum \((a+b)\).

\((a-b) < c < (a+b)\)

_________________

If a and b represent two sides of a triangle, then the third side c must lie between their absolute-value difference \((a-b)\) and their sum \((a+b)\).

\((a-b) < c < (a+b)\)

_________________

Harvard grad and verified 99% GRE scorer, offering high-quality private GRE tutoring and coaching, both in-person (San Diego, CA, USA) and online worldwide, since 2002.

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GRE Action Plan and Free E-Book - McElroy Tutoring

Personal Best GRE Score: 168/170 Quant (95%), 169/170 Verbal (99%), 5.5 AWA (98%)

GRE Vocab Capacity - Amazon.com

Vince and Brian's Free GRE PowerPrep Explanations

My GRE AMA on Reddit

Check Me Out on GMAT Club

My GRE Subreddit: r/GREpreparation

Re: lengths of two sides of a triangle are 5 and 9
[#permalink]
08 Jul 2017, 14:18

2

Expert Reply

sandy wrote:

If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third side of the triangle?

Indicate all such lengths.

A. 3

B. 5

C. 8

D. 15

Indicate all such lengths.

A. 3

B. 5

C. 8

D. 15

Show: :: OA

B and C

Practice Questions

Question: 13

Page: 154

Difficulty: medium

Question: 13

Page: 154

Difficulty: medium

IMPORTANT RULE: If two sides of a triangle have lengths A and B, then . . .

DIFFERENCE between A and B < length of third side < SUM of A and B

So, in this case we get: 9 - 5 < third side < 9 + 5

Simplify to get: 4 < third side < 14

Answer: B, C

Cheers,

Brent

_________________

gmatclubot

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