Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 17 Jul 2019, 19:44

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

Right triangles ABC and XYZ are similar. Each side of triangle ABC is

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56277
Right triangles ABC and XYZ are similar. Each side of triangle ABC is  [#permalink]

Show Tags

New post 07 Mar 2016, 08:55
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

67% (01:16) correct 33% (01:17) wrong based on 160 sessions

HideShow timer Statistics


Retired Moderator
User avatar
D
Joined: 13 Apr 2015
Posts: 1677
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
GMAT ToolKit User
Right triangles ABC and XYZ are similar. Each side of triangle ABC is  [#permalink]

Show Tags

New post 08 Mar 2016, 03:35
Side of ABC = x * Side of XYZ

Area of ABC = \(x^2\) * Area of XYZ

Area of XYZ = (1 / \(x^2\)) * Area of ABC

Answer: A
Senior Manager
Senior Manager
User avatar
Joined: 20 Aug 2015
Posts: 388
Location: India
GMAT 1: 760 Q50 V44
Re: Right triangles ABC and XYZ are similar. Each side of triangle ABC is  [#permalink]

Show Tags

New post 09 Mar 2016, 01:27
1
Bunuel wrote:
Right triangles ABC and XYZ are similar. Each side of triangle ABC is x times the corresponding side of triangle XYZ. If x > 1, then the area of triangle XYZ is what fraction of the area of triangle ABC?

A. 1/x^2
B. 1/x
C. x
D. x^2
E. 2x^2


Area of a triangle = 1/2 * Base * height

Since there are two lengths involved, hence the multiplication factor will be squared
Therefore if the lengths are in the ratio x, the are will be in the ratio \(x^2\)

Here each side of ABC is x times each side of XYZ
Therefore area of ABC = \(x^2\) * area of XYZ

Hence Area of XYZ = 1/\(x^2\) * Area of ABC
Option A
Current Student
avatar
B
Joined: 09 Feb 2014
Posts: 39
Concentration: General Management, Operations
Schools: Darden '19 (M$)
GMAT 1: 760 Q49 V45
GPA: 3.6
GMAT ToolKit User
Re: Right triangles ABC and XYZ are similar. Each side of triangle ABC is  [#permalink]

Show Tags

New post 09 Mar 2016, 12:53
1
Area of Triangle = \(\frac{b*h}{2}\)

Desired Ratio = \(\frac{b*h}{2}\)*\(\frac{2}{(b*x*h*x)}\) = \(\frac{2bh}{2bhxx}\) = \(\frac{1}{x^2}\)

Answer: A
Intern
Intern
avatar
Joined: 25 Feb 2016
Posts: 3
Re: Right triangles ABC and XYZ are similar. Each side of triangle ABC is  [#permalink]

Show Tags

New post 10 Mar 2016, 09:05
Given: Each side is of triangle ABC= x* the corresponding side of triangle XYZ.
So,
Area of triangle ABC= 1/2.b.h.
Area of triangle XYZ= 1/2. (xb).(xh).

Therefore area of triangle XYZ to that of fraction of the area of triangle ABC = 1/x^2.

Answer: A

Guys this is my first post in this forum. Kindly let me know for any modifications. :)
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 11666
Re: Right triangles ABC and XYZ are similar. Each side of triangle ABC is  [#permalink]

Show Tags

New post 21 Dec 2017, 06:51
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
Re: Right triangles ABC and XYZ are similar. Each side of triangle ABC is   [#permalink] 21 Dec 2017, 06:51
Display posts from previous: Sort by

Right triangles ABC and XYZ are similar. Each side of triangle ABC is

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





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