It is currently 21 Nov 2017, 21:27

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

triangles ABC and DEF are similar right triangles.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

4 KUDOS received
Intern
Intern
avatar
B
Joined: 09 Sep 2016
Posts: 36

Kudos [?]: 67 [4], given: 10

Location: Georgia
Concentration: Finance, International Business
GPA: 3.75
WE: Analyst (Investment Banking)
triangles ABC and DEF are similar right triangles. [#permalink]

Show Tags

New post 01 Mar 2017, 11:41
4
This post received
KUDOS
8
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

42% (02:10) correct 58% (01:43) wrong based on 148 sessions

HideShow timer Statistics

triangles ABC and DEF are similar right triangles. if the hypotenuse of triangle DEF has a length of 20, what is length of the hypotenuse of triangle ABC?

1) the ratio of perimeter of ABC to the area of the ABC is reciprocal of the ratio of the perimeter of DEF to the area of DEF

2) One of the legs in triangle DEF has length of 12

Hit kudos if you liked the question :)
[Reveal] Spoiler: OA

Kudos [?]: 67 [4], given: 10

Senior Manager
Senior Manager
avatar
B
Joined: 13 Oct 2016
Posts: 367

Kudos [?]: 402 [0], given: 40

GPA: 3.98
Re: triangles ABC and DEF are similar right triangles. [#permalink]

Show Tags

New post 01 Mar 2017, 14:40
2
This post was
BOOKMARKED
giobas wrote:
triangles ABC and DEF are similar right triangles. if the hypotenuse of triangle DEF has a length of 20, what is length of the hypotenuse of triangle ABC?

1) the ratio of perimeter of ABC to the area of the ABC is reciprocal of the ratio of the perimeter of DEF to the area of DEF

2) One of the legs in triangle DEF has length of 12

Hit kudos if you liked the question :)


Hi

(1) Perimeter(DEF)/Area(DEF) = Area(ABC)/Perimeter(ABC).

We have only the length of the hypothenuse of DEF. That's not sufficient.

(2) We have both hypothenuse and leg of DEF, hence we can find the other leg, perimeter and area, but no information about scale factor to corresponing sides or areas of another triangle. Insufficient.

(1)&(2) Perimeter(DEF) = 48, Area(DEF) = 96

Perimeter (DEF) / Area (DEF) = 48/96 = 1/2

Perimeter (ABC) / Area (ABC) = 2

With decreasing of lengths of sides of right triangles the area will shrink faster than perimeter, hence our triangle ABC should be smaller in size. Let's check several pythagorian triples:

Initially we have 16, 12 and 20. If we decrease the lengths by 2 this won't influence the pythagorean relationship.

Next: 8^2 + 6^2 = 10^ ----> 64 + 36 = 100. Perimeter/area = (8+6+10) / 1/2*8*6 = 24/24 = 1. We are going in the right direction.

Next well known: 4^2 + 3^2 = 5^2 ---> Perimeter/area = (4 + 3 + 5) / 1/2*4*3 = 12/6 = 2.

Our hypothenuse is 5.

Sufficient.

Answer C.

Kudos [?]: 402 [0], given: 40

Manager
Manager
avatar
S
Joined: 13 Mar 2013
Posts: 179

Kudos [?]: 75 [0], given: 25

Location: United States
Concentration: Leadership, Technology
GPA: 3.5
WE: Engineering (Telecommunications)
Re: triangles ABC and DEF are similar right triangles. [#permalink]

Show Tags

New post 21 Jun 2017, 15:56
Hi Bunuel ,

Could you please provide the solution for the question .
_________________

Regards ,

Kudos [?]: 75 [0], given: 25

Director
Director
avatar
S
Joined: 12 Nov 2016
Posts: 794

Kudos [?]: 36 [0], given: 165

Re: triangles ABC and DEF are similar right triangles. [#permalink]

Show Tags

New post 07 Sep 2017, 03:27
giobas wrote:
triangles ABC and DEF are similar right triangles. if the hypotenuse of triangle DEF has a length of 20, what is length of the hypotenuse of triangle ABC?

1) the ratio of perimeter of ABC to the area of the ABC is reciprocal of the ratio of the perimeter of DEF to the area of DEF

2) One of the legs in triangle DEF has length of 12

Hit kudos if you liked the question :)


St 1

not enough info about lengths of DEF - could be isosceles right triangle or something else

insuff

St 2

no info about the ABC

insuff

Only a 3 4 5 triangle fits the criteria

C

Kudos [?]: 36 [0], given: 165

Re: triangles ABC and DEF are similar right triangles.   [#permalink] 07 Sep 2017, 03:27
Display posts from previous: Sort by

triangles ABC and DEF are similar right triangles.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.