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TAGS: Founder  Joined: 18 Apr 2015
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The sum of the lengths of two sides of isosceles triangle K [#permalink]
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Question Stats: 50% (01:02) correct 49% (00:49) wrong based on 55 sessions
The sum of the lengths of two sides of isosceles triangle K is 7. K has a side of length 4.

 Quantity A Quantity B The perimeter of K 11

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________ Moderator  Joined: 07 Jan 2018
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Re: The sum of the lengths of two sides of isosceles triangle K [#permalink]
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It could be that the 3 sides are 4,4 and 3 or it could be that the three sides are 4,3,3
In the first case the perimeter would be 11 and in the second case the perimeter would be 10
option D
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Re: The sum of the lengths of two sides of isosceles triangle K [#permalink]
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Expert's post
Carcass wrote:
The sum of the lengths of two sides of isosceles triangle K is 7. K has a side of length 4.

 Quantity A Quantity B The perimeter of K 11

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Given: The sum of the lengths of two sides of isosceles triangle K is 7. K has a side of length 4.
Here are 2 possible triangles that meet this condition:
Case a: The triangle has lengths 3, 3, and 4
Case b: The triangle has lengths 3.5, 3.5, and 4

Let's examine each case separately.

Case a: The triangle has lengths 3, 3, and 4
Here, the perimeter = 3 + 3 + 4 = 10
So, we get:
Quantity A: 10
Quantity B: 11
Quantity B is greater

Case b: The triangle has lengths 3.5, 3.5, and 4
Here, the perimeter = 3.5 + 3.5 + 4 = 11
So, we get:
Quantity A: 11
Quantity B: 11
The two quantities are equal

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Brent Hanneson – Creator of greenlighttestprep.com Intern Joined: 17 Mar 2018
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Re: The sum of the lengths of two sides of isosceles triangle K [#permalink]
Is it also possible for this triangle to have lengths of 4, 4, 3?
Founder  Joined: 18 Apr 2015
Posts: 13891
GRE 1: Q160 V160 Followers: 313

Kudos [?]: 3676 , given: 12912

Re: The sum of the lengths of two sides of isosceles triangle K [#permalink]
Expert's post
Please see the two explanations above. They are very clear.

Kindly Regards
_________________ GRE Instructor Joined: 10 Apr 2015
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Re: The sum of the lengths of two sides of isosceles triangle K [#permalink]
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Expert's post
jen6 wrote:
Is it also possible for this triangle to have lengths of 4, 4, 3?

Yes, that's also possible.

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com Director Joined: 09 Nov 2018
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Re: The sum of the lengths of two sides of isosceles triangle K [#permalink]
jen6 wrote:
Is it also possible for this triangle to have lengths of 4, 4, 3?

yes because compare sides

4+4 = 8 > 3
4+3 = 7 > 3

4-4 = 0 < 3
4-3 = 1 < 4 Re: The sum of the lengths of two sides of isosceles triangle K   [#permalink] 19 Jan 2019, 15:24
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