BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

the inscribed triangle?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

the inscribed triangle?

by sanju09 » Sat Dec 28, 2013 10:41 pm
Triangle ABC is equilateral and BC = 1. Another equilateral triangle is to be inscribed in the triangle ABC so that each side of triangle ABC contains one vertex of the inscribed triangle. Which of the three points along BC in the figure may be used as a vertex of the inscribed triangle?
(A) y only
(B) y and z only
(C) x and z only
(D) x and y only
(E) x, y, and z
Image
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 1556
Joined: Tue Aug 14, 2012 11:18 pm
Thanked: 448 times
Followed by:34 members
GMAT Score:650

by theCodeToGMAT » Sun Dec 29, 2013 9:03 am
Is the Answer [spoiler]{E}[/spoiler]?
R A H U L
Top
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

by sanju09 » Sun Dec 29, 2013 11:16 pm
theCodeToGMAT wrote:Is the Answer [spoiler]{E}[/spoiler]?
[spoiler]Prove that please![/spoiler]
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
User avatar
Legendary Member
Posts: 1556
Joined: Tue Aug 14, 2012 11:18 pm
Thanked: 448 times
Followed by:34 members
GMAT Score:650

by theCodeToGMAT » Mon Dec 30, 2013 9:13 am
I don't know the logic behind the question; i solved it just by visual assumption..

Since ABC is equilateral triangle and we need to draw another equilateral triangle in it, the measurement gap, say cx/cy/cz, will imply to all sides..

So the figure becomes
Image

What is the correct Answer? Also, the explanation...

Thanks!
R A H U L
Top
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

by sanju09 » Tue Dec 31, 2013 2:53 am
theCodeToGMAT wrote:I don't know the logic behind the question; i solved it just by visual assumption..

Since ABC is equilateral triangle and we need to draw another equilateral triangle in it, the measurement gap, say cx/cy/cz, will imply to all sides..

So the figure becomes
Image

What is the correct Answer? Also, the explanation...

Thanks!
[spoiler](E) is the correct answer.[/spoiler]

If we pencil in from point x to a point that is ¾ of the approach from C to A and then pencil in from that point to a point that is ¾ of the approach from A to B, we'll get a triangle in which all the sides are the same length. This speculation works [spoiler]for each and every one[/spoiler] of the three points, hence the answer is [spoiler](E)[/spoiler].
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Post new topic Post Reply
• Page 1 of 1