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.
90 < x < 180
[#permalink]
29 Dec 2018, 10:15
29 Dec 2018, 10:15
Expert Reply
2
Bookmarks
00:00
Question Stats:
43% (01:16) correct
56% (01:05) wrong based on 132 sessions
Hide Show timer Statistics
Attachment:
#GREpracticequestion The perimeter of AOB.jpg [ 13.43 KiB | Viewed 6370 times ]
\(90 < x < 180\)
Quantity A |
Quantity B |
The perimeter of \(\triangle AOB\) |
17 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: 90 < x < 180
[#permalink]
08 Jan 2019, 17:39
08 Jan 2019, 17:39
2
Answer: A
90< x < 180
If x = 90, then the OAB would turn into a right traingle and we will have:
AO = OB = 5
AB = √(√5^2 + √5^2) = 5√2
Perimeter of OAB : 5 + 5 + 5√2 = 5(2+√2) that is a little bit bigger than 17(B)
__
If x is a little bit less than 180 (because if x=180, then there won’t be any traingle but two parallel lines:
In this case, OA=OB are still the same size(5) but more the x is, the more the AB would be. So the perimeter is even bigger than when x=90.
In general the perimeter of AOB is 10+AB. The least possible value for AB when 90< x < 180, occurs when x=90 and in this case, perimeter of the triangle is bigger than 17.
90< x < 180
If x = 90, then the OAB would turn into a right traingle and we will have:
AO = OB = 5
AB = √(√5^2 + √5^2) = 5√2
Perimeter of OAB : 5 + 5 + 5√2 = 5(2+√2) that is a little bit bigger than 17(B)
__
If x is a little bit less than 180 (because if x=180, then there won’t be any traingle but two parallel lines:
In this case, OA=OB are still the same size(5) but more the x is, the more the AB would be. So the perimeter is even bigger than when x=90.
In general the perimeter of AOB is 10+AB. The least possible value for AB when 90< x < 180, occurs when x=90 and in this case, perimeter of the triangle is bigger than 17.
