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The sum of the lengths of two sides of isosceles triangle K
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14 May 2018, 14:02
14 May 2018, 14:02
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Question Stats:
57% (01:09) correct
42% (00:54) wrong based on 108 sessions
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The sum of the lengths of two sides of isosceles triangle K is 7. K has a side of length 4.
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.
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.
Re: The sum of the lengths of two sides of isosceles triangle K
[#permalink]
15 May 2018, 08:37
15 May 2018, 08:37
2
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
_________________
In the first case the perimeter would be 11 and in the second case the perimeter would be 10
option D
_________________
Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
Re: The sum of the lengths of two sides of isosceles triangle K
[#permalink]
15 May 2018, 08:40
15 May 2018, 08:40
1
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Carcass wrote:
The sum of the lengths of two sides of isosceles triangle K is 7. K has a side of length 4.
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.
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
Answer: D
RELATED VIDEO
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Re: The sum of the lengths of two sides of isosceles triangle K
[#permalink]
21 May 2018, 19:35
21 May 2018, 19:35
Is it also possible for this triangle to have lengths of 4, 4, 3?
Re: The sum of the lengths of two sides of isosceles triangle K
[#permalink]
22 May 2018, 00:13
22 May 2018, 00:13
Expert Reply
Please see the two explanations above. They are very clear.
Kindly Regards
Kindly Regards
Re: The sum of the lengths of two sides of isosceles triangle K
[#permalink]
22 May 2018, 05:05
22 May 2018, 05:05
1
Expert Reply
jen6 wrote:
Is it also possible for this triangle to have lengths of 4, 4, 3?
Yes, that's also possible.
Cheers,
Brent
_________________
Re: The sum of the lengths of two sides of isosceles triangle K
[#permalink]
19 Jan 2019, 15:24
19 Jan 2019, 15:24
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]
29 Jun 2021, 18:14
29 Jun 2021, 18:14
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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