NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 02:10 It is currently 24 Apr 2024, 02:10
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

What is the perimeter of a certain right triangle?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16593 [3]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
What is the perimeter of a certain right triangle? [#permalink] New post   27 Jan 2017, 04:25
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

67% (01:28) correct 33% (01:35) wrong based on 111 sessions
Hide Show timer Statistics
What is the perimeter of a certain right triangle?

1) The length of hypotenuse is 4
2) The area of triangle is 4.5
ShowHide Answer
Official Answer
C
User avatar
L
rohit8865
Director
Director
Joined: 05 Mar 2015
Posts: 852
Own Kudos [?]: 860 [0]
Given Kudos: 45
Send PM
Reviews Badge
Re: What is the perimeter of a certain right triangle? [#permalink] New post   27 Jan 2017, 05:38
MathRevolution wrote:
What is the perimeter of a certain right triangle?

1) The length of hypotenuse is 4
2) The area of triangle is 4.5


1) no info about other sides...insuff
2) no info about hypotenuse /other sides....insuff

Combining
let base = b , height = h
then from (2) h*b/2= 4.5
h*b=9---(a)
From (1)
h= sq. root Hyp^2- b^2 =16-b^2= sq root(4+b)(4-b)
similarly b= sq root (4+h)(4-h)
putting above values of h & b in (a) we can calculate h or b (as h=9/b)

Thus all sides are known
hence perimeter can be calculated
Suff

Ans C
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618678 [0]
Given Kudos: 81586
Send PM
CAT Tests Forum Quiz Mode
Re: What is the perimeter of a certain right triangle? [#permalink] New post   27 Jan 2017, 06:52
Expert Reply
MathRevolution wrote:
What is the perimeter of a certain right triangle?

1) The length of hypotenuse is 4
2) The area of triangle is 4.5


This is a copy of the following question: what-is-the-perimeter-of-a-certain-right-triangle-221855.html
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16593 [2]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
Re: What is the perimeter of a certain right triangle? [#permalink] New post   30 Jan 2017, 02:45
1
Kudos
1
Bookmarks
Expert Reply
==> In the original condition, for the right triangle, there are 2 variables and in order to match the number of variables to the number of equations, there must be 2 equations. Since there is 1 for con 1) and 1 for con 2), C is most likely to be the answer. By solving con 1) and con 2) and assume the two hypotenuses of the triangle as a and b, you get \(a^2+b^2=4^2=16\), and from ab/2=4.5, you get ab=9. Then, from \((a+b)^2=a^2+b^2+2ab=16+2(9)=16+18=34\), you get a+b=√34, so the perimeter of the right triangle=a+b+4=√34+4, hence it is unique and sufficient.

Therefore, the answer is C.
Answer: C
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32640
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: What is the perimeter of a certain right triangle? [#permalink] New post   22 Oct 2022, 10:37
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: What is the perimeter of a certain right triangle? [#permalink]
22 Oct 2022, 10:37
Moderator:
Bunuel
Math Expert
92893 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions