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.
Perimeter of triangle ABC
[#permalink]
23 Sep 2018, 06:56
23 Sep 2018, 06:56
Expert Reply
00:00
Question Stats:
93% (00:28) correct
6% (00:19) wrong based on 60 sessions
Hide Show timer Statistics
Attachment:
Capture.JPG [ 28.35 KiB | Viewed 3327 times ]
Quantity A |
Quantity B |
Perimeter of triangle ABC |
Perimeter of triangle DEF |
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Perimeter of triangle ABC
[#permalink]
01 Apr 2020, 05:00
01 Apr 2020, 05:00
sandy wrote:
Attachment:
Capture.JPG
Quantity A |
Quantity B |
Perimeter of triangle ABC |
Perimeter of triangle DEF |
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.
Triangle on the left
Since angles in a triangle add to 180°, we can see that the missing angle (x) in the triangle is 60°, which makes it an equilateral triangle
In an equilateral triangle, all sides have the same length
So the perimeter of the triangle = 9 + 9 + 9 = 27
Triangle on the right
As for the right triangle, we COULD apply the Pythagorean theorem to find the length of the hypotenuse (side EF)
Alternatively, we might also recognize that 5 and 12 are part of the Pythagorean triplet 5-12-13, so side EF must have length 13
So the perimeter of this triangle = 5 + 12 + 13 = 30
We get:
Quantity A: 27
Quantity B: 30
Answer: B
Cheers,
Brent
gmatclubot
Re: Perimeter of triangle ABC [#permalink]
01 Apr 2020, 05:00
Moderators:
