NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 00:28 It is currently 26 Apr 2024, 00:28
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 [?]: 16598 [2]
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   06 Mar 2017, 01:13
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

64% (01:20) correct 36% (01:23) wrong based on 131 sessions
Hide Show timer Statistics
What is the perimeter of a certain right triangle?

1) The hypotenuse’s length is 10
2) The triangle’s area is 24
ShowHide Answer
Official Answer
C
User avatar
S
KrishnakumarKA1
Senior Manager
Senior Manager
Joined: 05 Jan 2017
Posts: 416
Own Kudos [?]: 284 [0]
Given Kudos: 15
Location: India
Send PM
Re: What is the perimeter of a certain right triangle? [#permalink] New post   06 Mar 2017, 03:52
prompt analysis
let the other two sides be a and b. hypotenuse = (a^2 +b^2 )^1/2
area = ab/2

superset
the answer will be a positive real number.

Translation
In order to find the answer, we need:
1# exact value of a and b
2# two equation in a and b
3# the value of the product ab

statement analysis
St 1: (a^2 +b^2 )^1/2 = 10. two variable, one equation. INSUFFICIENT
St 2: ab/2 = 24. two variable, one equation. INSUFFICIENT.

St 1 & St 2: two variable, two equation. Can be calculated. SUFFICIENT.

Option C
User avatar
B
aepmk
Manager
Manager
Joined: 09 Nov 2016
Posts: 87
Own Kudos [?]: 8 [0]
Given Kudos: 33
Send PM
Re: What is the perimeter of a certain right triangle? [#permalink] New post   06 Mar 2017, 04:21
Because we know 10 is the hypotenuse so it should be from the set (6,8,10). Option 1 sufficient
Area is 24. Ie base * height = 24 * 2 = 48
48 we factorize and see if any of the no:S from right triangle set is derived i.e.
48= 2^4 * 3, which is 8*6 and 12* 4. 4,12 doesn't form a set of right triangle sides but 6,8 forms a set and the third side is 10. Therefore perimeter is 24 .
Thus option D.


Sent from my iPhone using GMAT Club Forum
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16598 [0]
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   08 Mar 2017, 01:12
Expert Reply
==> In the original condition, for a right triangle, there are 2 variables (2 legs) 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), you get 6:8:10 and the perimeter of the right triangle becomes 6+8+10=24, hence unique and sufficient.

Therefore, the answer is C.
Answer: C
avatar
arpanmagoo
Intern
Intern
Joined: 01 May 2016
Posts: 2
Own Kudos [?]: 1 [1]
Given Kudos: 7
Send PM
Re: What is the perimeter of a certain right triangle? [#permalink] New post   13 Mar 2017, 06:05
1
Kudos
Question : Can you please elaborate more the answer? How did you get the 6 and 8?
User avatar
S
Nunuboy1994
Director
Director
Joined: 12 Nov 2016
Posts: 569
Own Kudos [?]: 118 [0]
Given Kudos: 167
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Send PM
Re: What is the perimeter of a certain right triangle? [#permalink] New post   06 Sep 2017, 22:44
MathRevolution wrote:
What is the perimeter of a certain right triangle?

1) The hypotenuse’s length is 10
2) The triangle’s area is 24


The trick with this question is that in statement 1 we cannot actually assume that the sides are 6 and 8 just because we know that

x^2 +y^2 = 100

We cannot make any assumptions about X and Y UNLESS there is a restriction such as "X and Y must be integers" or "The product of XY is 48."

C
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16598 [0]
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   09 Sep 2017, 21:29
Expert Reply
arpanmagoo wrote:
Question : Can you please elaborate more the answer? How did you get the 6 and 8?


Assume we have two sides \(a\) and \(b\) and a hypothesis 10.
Then we have \(a^2 + b^2 = 100\) and \(\frac{1}{2}ab = 24\)
Thus \(a = 6\), \(b = 8\) or \(a = 8\), \(b = 6\).
GMAT Club Bot
gmatclubot
Re: What is the perimeter of a certain right triangle? [#permalink]
09 Sep 2017, 21:29
Moderator:
Bunuel
Math Expert
92918 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