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Founder  Joined: 18 Apr 2015
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The sum of the lengths of two sides of isosceles triangle K [#permalink]
Expert's post 00:00

Question Stats: 50% (00:59) correct 50% (00:49) wrong based on 20 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

_________________ Director  Joined: 07 Jan 2018
Posts: 644
Followers: 7

Kudos [?]: 602  , given: 88

Re: The sum of the lengths of two sides of isosceles triangle K [#permalink]
1
KUDOS
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
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes GRE Instructor Joined: 10 Apr 2015
Posts: 1971
Followers: 60

Kudos [?]: 1798  , given: 9

Re: The sum of the lengths of two sides of isosceles triangle K [#permalink]
1
KUDOS
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
Posts: 9
Followers: 1

Kudos [?]: 3 , given: 7

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: 6898
Followers: 114

Kudos [?]: 1342 , given: 6309

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
Posts: 1971
Followers: 60

Kudos [?]: 1798  , given: 9

Re: The sum of the lengths of two sides of isosceles triangle K [#permalink]
1
KUDOS
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
Posts: 508
Followers: 0

Kudos [?]: 27 , given: 1

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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