Events & Promotions
|
|
GMAT 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.
May 1810:00 AM PDT
-11:00 AM PDT
Join us in a live GMAT practice session and solve 25 challenging GMAT questions with other test takers in timed conditions, covering GMAT Quant, Data Sufficiency, Data Insights, Reading Comprehension, and Critical Reasoning questions.
May 1212:00 PM EDT
-11:59 PM EDT
Make the most of your break with the most realistic GMAT™ prep. Take up to $700 off select products. Ends 6/1
May 1501:00 PM IST
-11:00 AM IST
Start your journey with a fully customized action plan and work with a dedicated mentor to achieve a 735+ score.- May 19
12:00 PM PDT
-01:00 PM PDT
Scoring 329 on the GRE is not always about using more books, more courses, or a longer study plan. In this episode of GRE Success Talks, Ashutosh shares his GRE preparation strategy, study plan, and test-day experience, explaining how he kept his prep.... - Jun 10
06:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
15 Aug 2019, 00:28
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
70% (01:00) correct
30%
(01:04)
wrong
based on 63
sessions
History
Date
Time
Result
Not Attempted Yet
A right triangle has two legs of equal length. What is the perimeter, in centimeters, of the triangle?
(1) The area of the triangle is 4 square centimeters.
(2) The hypotenuse of the triangle measures 4 cm.
(1) The area of the triangle is 4 square centimeters.
(2) The hypotenuse of the triangle measures 4 cm.
15 Aug 2019, 07:08
Kudos
Bookmarks
It's an isosceles right triangle, or a 45-45-90 triangle. There's only one 45-45-90 triangle with an area of 4, and there's only one 45-45-90 triangle with a hypotenuse of 4. So the answer must be D; there's no need to calculate anything.
17 Sep 2019, 05:14
Kudos
Bookmarks
SajjadAhmad
Official Explanation
The only way for a right triangle to have two sides of equal length is to be a 45-45-90 triangle. That means that the lengths of the sides of this triangle are in the ratio \(x:x:\sqrt{2}\). On to the statements, separately first.
Statement (1) gives us the area of the triangle. Since the two sides of length x are perpendicular, they are valid base-height pair. Therefore, bh/2 = x^2/2 = 4. That allows us to solve for x (it's \(2\sqrt{2}\)). From there, we can determine the lengths of all of the sides and hence the perimeter. Statement (1) is sufficient.
Statement (2) tells us that \(x\sqrt{2}=4\), so we can solve for x and determine the perimeter of the triangle. Statement (2) is therefore sufficient and the correct answer is (D).
We see in this question that special triangles, like circles, are prone to sufficiency, because they are defined by a small number of parameters.
Again, the correct answer is (D).
