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# lengths of two sides of a triangle are 5 and 9

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Joined: 07 Jun 2014
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lengths of two sides of a triangle are 5 and 9 [#permalink]  16 Dec 2015, 04:18
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Question Stats:

74% (00:25) correct 25% (00:35) wrong based on 31 sessions
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

Practice Questions
Question: 13
Page: 154
Difficulty: medium
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 106

Kudos [?]: 1820 [0], given: 397

Re: lengths of two sides of a triangle are 5 and 9 [#permalink]  16 Dec 2015, 04:24
Expert's post
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 $$C$$
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Re: lengths of two sides of a triangle are 5 and 9 [#permalink]  10 Apr 2016, 21:16
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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 $$(a+b)$$.

$$(a-b) < c < (a+b)$$
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Re: lengths of two sides of a triangle are 5 and 9 [#permalink]  08 Jul 2017, 14:18
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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

[Reveal] Spoiler: OA
B and C

Practice Questions
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

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

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