GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
The lengths of two sides of isosceles triangle XYZ are 8 and 18.
[#permalink]
Updated on: 14 Feb 2021, 09:38
Updated on: 14 Feb 2021, 09:38
1
8
Bookmarks
00:00
Question Stats:
46% (00:59) correct
54% (00:44) wrong based on 50 sessions
Hide Show timer Statistics
The lengths of two sides of isosceles triangle XYZ are 8 and 18.
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 triangle XYZ |
36 |
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.
Originally posted by GreenlightTestPrep on 14 Feb 2021, 07:04.
Last edited by Carcass on 14 Feb 2021, 09:38, edited 1 time in total.
Last edited by Carcass on 14 Feb 2021, 09:38, edited 1 time in total.
Updated
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: The lengths of two sides of isosceles triangle XYZ are 8 and 18.
[#permalink]
14 Feb 2021, 09:11
14 Feb 2021, 09:11
1
GreenlightTestPrep wrote:
The lengths of two sides of isosceles triangle XYZ are 8 and 18.
Quantity A |
Quantity B |
The perimeter of triangle XYZ |
36 |
Any side in a triangle must be less than the sum of other 2 sides and at the same time must be greater than the positive difference between them.
Let the third side be \(x\)
So, \(18 - 8 < x < 18 + 8\)
\(10 < x < 26\)
Adding 18 and 8 in the inequality:
\(18 + 8 + 10 < 18 + 8 + x < 18 + 8 + 26\)
\(36 < Perimeter < 52\)
Clearly, Col. A > Col. B
Hence, option A
Re: The lengths of two sides of isosceles triangle XYZ are 8 and 18.
[#permalink]
14 Feb 2021, 10:01
14 Feb 2021, 10:01
3
According to the question's assumption, the triangle is an ISOSCELES, which means 2 sides of the triangle should be equal. We have given 8 and 18, So the third side should be either 8 or 18. If two sides are 8, the perimeter of the triangle will be: 8 + 8 + 18 = 34 < 36. On the other hand, if two sides are 18, the perimeter of the triangle will be: 18 + 18 + 8 = 44 > 36. Hence, the answer is D.
