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

It is currently 18 Apr 2014, 22:58

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

The area of the right triangle ABC is 4 times greater than

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
Joined: 23 May 2008
Posts: 841
Followers: 3

Kudos [?]: 23 [0], given: 0

GMAT Tests User
The area of the right triangle ABC is 4 times greater than [#permalink] New post 18 Aug 2008, 16:18
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
The area of the right triangle ABC is 4 times greater than the area of the right triangle KLM. If the hypotenuse KL is 10 inches, what is the length of the hypotenuse AB?

(1) Angles ABC and KLM are each equal to 55 degrees.

(2) LM is 6 inches.
Senior Manager
Senior Manager
Joined: 23 May 2006
Posts: 329
Followers: 2

Kudos [?]: 44 [0], given: 0

GMAT Tests User
Re: DS: Triangles [#permalink] New post 18 Aug 2008, 17:11
The area of the right triangle ABC is 4 times greater than the area of the right triangle KLM. If the hypotenuse KL is 10 inches, what is the length of the hypotenuse AB?

(1) Angles ABC and KLM are each equal to 55 degrees.

(2) LM is 6 inches.

S1. Tells you that the two triangles ABC and KLM are similar traingles
A1/A2 = AB^2/KL^2
4/1 = AB^2/10^2
AB = SQ.RT 400 = 20
SUFFICIENT

S2. Tells you the lenght of LM. This does not really help us since it does not prove that the triangles are similar
1 KUDOS received
SVP
SVP
Joined: 17 Jun 2008
Posts: 1580
Followers: 10

Kudos [?]: 167 [1] , given: 0

GMAT Tests User
Re: DS: Triangles [#permalink] New post 19 Aug 2008, 03:24
1
This post received
KUDOS
S1. Tells you that the two triangles ABC and KLM are similar traingles
A1/A2 = AB^2/KL^2
4/1 = AB^2/10^2
AB = SQ.RT 400 = 20
SUFFICIENT

What is the concept behind this?
Manager
Manager
Joined: 23 Jul 2008
Posts: 207
Followers: 1

Kudos [?]: 26 [0], given: 0

GMAT Tests User
Re: DS: Triangles [#permalink] New post 19 Aug 2008, 04:31
shud be A

1) tells us the two triangles are similar hence hyp of abc can be found sufficient
2) we can only find the area of ABC doesn t tell anything else ---insufficient
VP
VP
User avatar
Joined: 18 May 2008
Posts: 1302
Followers: 10

Kudos [?]: 78 [0], given: 0

GMAT Tests User
Re: DS: Triangles [#permalink] New post 07 Oct 2008, 01:13
It should be A.
(1) Since all angles are same these are similar triangles. We know that ratio of area of similar triangles is square the ratio of corresponding length. Thus Ab can be found. Sufficient
(2) we can knw the product of BC and AC but othing can be known abt AB. Insufficient
Director
Director
Joined: 23 May 2008
Posts: 841
Followers: 3

Kudos [?]: 23 [0], given: 0

GMAT Tests User
Re: DS: Triangles [#permalink] New post 07 Oct 2008, 09:11
scthakur wrote:
S1. Tells you that the two triangles ABC and KLM are similar traingles
A1/A2 = AB^2/KL^2
4/1 = AB^2/10^2
AB = SQ.RT 400 = 20
SUFFICIENT

What is the concept behind this?



why do we need to use the squares of the hyp's.? Are we some how using the pythagorean theorem?
Manager
Manager
Joined: 15 Apr 2008
Posts: 169
Followers: 2

Kudos [?]: 10 [0], given: 1

GMAT Tests User
Re: DS: Triangles [#permalink] New post 07 Oct 2008, 09:32
answer should be A

statement one proves that the triangles are similar. hence is sufficient to find the hypotenuse of ABC.
Director
Director
User avatar
Joined: 27 Jun 2008
Posts: 549
WE 1: Investment Banking - 6yrs
Followers: 1

Kudos [?]: 42 [0], given: 92

GMAT Tests User
Re: DS: Triangles [#permalink] New post 07 Oct 2008, 10:31
A

(1) you can get to know the sides and the area. - Suff
(2) Q Stem says, 4 times GREATER not 4 times - Insuff
Senior Manager
Senior Manager
User avatar
Joined: 29 Mar 2008
Posts: 351
Followers: 2

Kudos [?]: 37 [0], given: 0

GMAT Tests User
Re: DS: Triangles [#permalink] New post 07 Oct 2008, 11:22
bigtreezl wrote:
scthakur wrote:
S1. Tells you that the two triangles ABC and KLM are similar traingles
A1/A2 = AB^2/KL^2
4/1 = AB^2/10^2
AB = SQ.RT 400 = 20
SUFFICIENT

What is the concept behind this?



why do we need to use the squares of the hyp's.? Are we some how using the pythagorean theorem?


Let there be two similar triangles ABC and PQR. Let us call the ratio of corresponding sides as scale factor (SF).
PPTY(1) The perimeters of two similar triangles are in the ratio of their scale factor.
PPTY (2) The areas of two similar triangles are in the same ratio as the square of their scale factors.

According to PPTY (2), in the given problem, the scale factor (SF) happens to be the ratio of the hypotenuse. It doen't have to be the hypotenuse always (could be any side).
Hence, A1/A2 = AB^2/KL^2

You can find more information on similar triangles from here:
http://www.pinkmonkey.com/studyguides/s ... 505701.asp
_________________

To find what you seek in the road of life, the best proverb of all is that which says:
"Leave no stone unturned."
-Edward Bulwer Lytton

Re: DS: Triangles   [#permalink] 07 Oct 2008, 11:22
    Similar topics Author Replies Last post
Similar
Topics:
New posts In triangle ABC to the right, if BC = 3 and AC = 4, then SunShine 7 29 Jan 2006, 15:52
New posts If ABCE is a rectangle, is the area of greater than the area sbasha 2 31 Aug 2009, 10:35
Popular new posts 22 Experts publish their posts in the topic Is the perimeter of triangle ABC greater than 20? (1) Bunuel 30 19 Nov 2009, 17:40
This topic is locked, you cannot edit posts or make further replies. New 7 Experts publish their posts in the topic The area of the right triangle ABC is 4 times greater than TXTDryFly 6 10 May 2010, 19:48
New posts 3 Experts publish their posts in the topic The area of the right triangle ABC is 4 times greater than enigma123 4 05 Feb 2012, 04:07
Display posts from previous: Sort by

The area of the right triangle ABC is 4 times greater than

  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®.