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
In the figure above, triangle XYZ is a right triangle.
[#permalink]
24 Oct 2021, 08:02
24 Oct 2021, 08:02
1
2
Bookmarks
00:00
Question Stats:
27% (00:43) correct
72% (00:28) wrong based on 18 sessions
Hide Show timer Statistics
In the figure above, triangle XYZ is a right triangle.
Quantity A |
Quantity B |
b |
12 |
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
In the figure above, triangle XYZ is a right triangle.
[#permalink]
25 Oct 2021, 09:59
25 Oct 2021, 09:59
GreenlightTestPrep wrote:
In the figure above, triangle XYZ is a right triangle.
Quantity A |
Quantity B |
b |
12 |
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.
I created this question to illustrate the point that the diagrams on the GRE are not necessarily drawn to scale.
So, even though we're told triangle XYZ is a RIGHT triangle, there's no way to be certain which of the three angles is 90° (even though ∠X certainly APPEARS to be 90°
Consider the following two cases:
Case a: If ∠X = 90°, then applying the Pythagorean theorem gives us 5² + b² = 13². Solve to get b = 12, in which case Quantity A = Quantity B.
Case b: If ∠Y = 90°, then applying the Pythagorean theorem gives us 5² + 13² = c². Solve to get b = √194, in which case Quantity A > Quantity B.
Answer: D
Cheers,
Brent
General Discussion
Re: In the figure above, triangle XYZ is a right triangle.
[#permalink]
25 Oct 2021, 02:29
25 Oct 2021, 02:29
Answer is C as 5,12,13 is a Pythagoras triplet.
