Line DB divides Rectangle ABCD into two equal triangles. Is

This topic has expert replies
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Image

Line DB divides Rectangle ABCD into two equal triangles. Is Angle ABD equal to 30 degrees.

(1) One side of Triangle ABD is equal to 2.

(2) One side of Rectangle ABCD is 1.

OA E

Source: Veritas Prep

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » Sun Dec 09, 2018 9:05 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

BTGmoderatorDC wrote:Image

Line DB divides Rectangle ABCD into two equal triangles. Is Angle ABD equal to 30 degrees.

(1) One side of Triangle ABD is equal to 2.

(2) One side of Rectangle ABCD is 1.

OA E

Source: Veritas Prep
Needless to say that each statement alone is not sufficient.

Combining both the statements:

Case 1: Say AB = 1 and AD = 2, then we have /_A = 90º, and angle B can be determined. Let's not calculate it as of now.
Case 2: Say DB = 2 and AD = 1, then we have /_A = 90º, and angle B can be determined. Let's not calculate it as of now.

Note that the value of and B would be different from both the cases, thus, no unique value. Insufficient.

The correct answer: E

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: Manhattan Review New Delhi | Hyderabad | GRE Prep Chennai | Madhapur GRE Coaching | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

Legendary Member
Posts: 2218
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

by swerve » Mon Dec 10, 2018 9:25 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Hi,

I had a very basic doubt here.

If a line divides a rectangle into two equal triangles, shouldn't this line be the rectangle's diagonal and create a 45-degree angle at the vertices?

User avatar
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

by GMATGuruNY » Mon Dec 10, 2018 9:28 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

swerve wrote:Hi,

I had a very basic doubt here.

If a line divides a rectangle into two equal triangles, shouldn't this line be the rectangle's diagonal and create a 45-degree angle at the vertices?
Yes, the line will be a diagonal, but the four angles created by this diagonal will each be 45 degrees only if the rectangle is a square.
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

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Mon Dec 10, 2018 9:29 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

swerve wrote:Hi,

I had a very basic doubt here.

If a line divides a rectangle into two equal triangles, shouldn't this line be the rectangle's diagonal and create a 45-degree angle at the vertices?
IF all 4 sides of the rectangle have EQUAL length (i.e,, the shape is a square), then the diagonal will create two 45-45-90 right triangles.
However, if the sides are not all the same length, the resulting triangles will NOT be 45-45-90 right triangles.

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image