Find all School-related info fast with the new School-Specific MBA Forum

It is currently 01 Aug 2015, 23:22
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Need Help With Math Problem: Triangles

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 18 Nov 2010
Posts: 10
Followers: 0

Kudos [?]: 8 [0], given: 8

Need Help With Math Problem: Triangles [#permalink] New post 18 Nov 2010, 07:33
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

55% (01:59) correct 45% (00:29) wrong based on 11 sessions
The perimeter of a certain isoceles right triangle is 16 + (16 * Square Root (2)). What is the length of the hypotenuse.

8
16 (correct answer)
4 * Square Root (2)
8 * Square Root (2)
16 * Square Root (2)

Thanks!
[Reveal] Spoiler: OA
1 KUDOS received
Manager
Manager
User avatar
Status: Still Struggling
Joined: 02 Nov 2010
Posts: 138
Location: India
GMAT Date: 10-15-2011
GPA: 3.71
WE: Information Technology (Computer Software)
Followers: 5

Kudos [?]: 35 [1] , given: 8

Re: Need Help With Math Problem: Triangles [#permalink] New post 18 Nov 2010, 08:34
1
This post received
KUDOS
ANS : B

lets say we have an isoceles triangle ABC with B = 90 degress and AB=BC=X and CA=Y.

now applying rt angle formula sqr Y = sqr X + sqr X = 2(sqr X).......................1
also, perimeter = 2X + Y = 16 + 16(sqrt of 2).................2

solve both the equations for Y.. in the end, we would get the equation something like:

Y + Y(sqrt 2) = 16 + 16(sqrt 2).

From this, its easily seen that Y=16. :)

----------------------------------------------------------------------
Consider KUDOS if my post helped you!!
_________________

Appreciation in KUDOS please!
Knewton Free Test 10/03 - 710 (49/37)
Princeton Free Test 10/08 - 610 (44/31)
Kaplan Test 1- 10/10 - 630
Veritas Prep- 10/11 - 630 (42/37)
MGMAT 1 - 10/12 - 680 (45/34)

1 KUDOS received
Intern
Intern
avatar
Joined: 17 Aug 2009
Posts: 41
Location: United States
Concentration: Finance, Entrepreneurship
GMAT 1: 740 Q49 V42
GPA: 3.29
WE: Engineering (Consulting)
Followers: 0

Kudos [?]: 11 [1] , given: 4

Re: Need Help With Math Problem: Triangles [#permalink] New post 18 Nov 2010, 09:51
1
This post received
KUDOS
Since we are dealing with isosceles triangle, we know that its 2 legs are equal.

The equation for its perimeter = hypotenuse + 2*leg.

and since isosceles right triangle is a 45 45 right triangle,

\(leg = \frac{hypotenuse}{\sqrt{2}}\)

which can be simplified to \(leg = \frac{hypotenuse}{2}\sqrt{2}\)

So the perimeter equation becomes

\(perimeter = hypotenuse + 2\frac{hypotenuse}{2}\sqrt{2}\)

\(perimeter = hypotenuse + hypotenuse\sqrt{2}\)

and since we are given

\(perimeter = 16 + 16\sqrt{2}\)

therefore hypotenuse = 16.
Manager
Manager
User avatar
Joined: 01 Nov 2010
Posts: 182
Location: Zürich, Switzerland
Followers: 2

Kudos [?]: 22 [0], given: 20

Re: Need Help With Math Problem: Triangles [#permalink] New post 18 Nov 2010, 16:02
Remember the equation for isoscelleous right triangle sides- x:x:x*sqrt(2)

Let one leg= a Thus,
2a+sqrt(2)*a= 16+16*sqrt(2)

Readjusting
2a+sqrt(2)*a= 16*sqrt(2)+16

thus a = 8 *sqrt(2)
And hypotenus= 16

Ans:- B
Manager
Manager
avatar
Joined: 20 Apr 2010
Posts: 240
Location: Hyderabad
WE 1: 4.6 years Exp IT prof
Followers: 8

Kudos [?]: 30 [0], given: 48

CAT Tests
Re: Need Help With Math Problem: Triangles [#permalink] New post 22 Nov 2010, 13:45
messed up....:(
_________________

I will give a Fight till the End

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."
- Bernard Edmonds

A person who is afraid of Failure can never succeed -- Amneet Padda

Don't Forget to give the KUDOS

Re: Need Help With Math Problem: Triangles   [#permalink] 22 Nov 2010, 13:45
    Similar topics Author Replies Last post
Similar
Topics:
A math problem pls help to solve Jasontuyj2012 2 13 Aug 2011, 05:06
A math problem, pls help to solve Jasontuyj2012 3 06 Aug 2011, 03:22
A math problem, pls help to solve it tracyyahoo 4 28 Jun 2011, 22:15
Experts publish their posts in the topic Need Help with this problem Jumphi97 4 31 Oct 2010, 07:25
Need help in solving these problems cipher 5 14 Jan 2010, 10:22
Display posts from previous: Sort by

Need Help With Math Problem: Triangles

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.