https://www.beatthegmat.com/btg-pq-if-cd ... 85847.html
Q : Why this triangle is not following 30-30-120 i.e 6- 6- 12 Root 3 ?
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
DS - Geometry.
This topic has expert replies
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Statement 1: BD = 6√3.
Draw a 30-60-90 triangle:
∆EBD is a 30-60-90 triangle.
In a 30-60-90 triangle, the sides are proportioned x : x√3 : 2x.
In ∆EBD, 2x = 6√3.
Thus, EB = 3√3 and and ED = 3√3 * √3 = 9.
Since ED = 9, EC = 9-6 = 3.
In ∆EBC the legs are 3 and 3√3, indicating that ∆EBC also is a 30-60-90 triangle with a hypotenuse of 6.
Thus, BC = 6.
Sufficient.
Statement 2: x=60.
x=60 will yield the same drawing shown in statement 1.
Thus, the same reasoning can be used to determine that BC = 6.
Sufficient.
The correct answer is D.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
The sides of a 30-30-120 triangle are proportioned x : x : x√3.pm wrote:Mitch,
Does every isosceles 30-30-120 triangle follows 1-1-2Root3 property?
In my solution to the problem posted above, the 30-30-120 triangle has sides 6, 6 and 6√3.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
-
prateek_guy2004
- Master | Next Rank: 500 Posts
- Posts: 398
- Joined: Tue Jul 26, 2011 11:39 pm
- Location: India
- Thanked: 41 times
- Followed by:6 members
We have one side of a triangle .
What do we need another side to answer the ques.
Statement 1----Clearly mentions thats.
Suff
statement 2-----Tells us x= 60 now its in a straight line so 60 -x= 180
Suff
Hence IMOD
What do we need another side to answer the ques.
Statement 1----Clearly mentions thats.
Suff
statement 2-----Tells us x= 60 now its in a straight line so 60 -x= 180
Suff
Hence IMOD
Don't look for the incorrect things that you have done rather look for remedies....
https://www.beatthegmat.com/motivation-t90253.html
https://www.beatthegmat.com/motivation-t90253.html
