GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Dec 2018, 21:34

### 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

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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Happy Christmas 20% Sale! Math Revolution All-In-One Products!

December 20, 2018

December 20, 2018

10:00 PM PST

11:00 PM PST

This is the most inexpensive and attractive price in the market. Get the course now!
• ### Key Strategies to Master GMAT SC

December 22, 2018

December 22, 2018

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# In the figure below, what is the perimeter of triangle BCD?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51285
In the figure below, what is the perimeter of triangle BCD?  [#permalink]

### Show Tags

04 Oct 2018, 01:35
00:00

Difficulty:

15% (low)

Question Stats:

94% (00:54) correct 6% (01:26) wrong based on 33 sessions

### HideShow timer Statistics

In the figure below, what is the perimeter of triangle BCD?

(A) 4 + 4√3
(B) 12
(C) 12 + 4√3
(D) 8 + 8√3
(E) 16√2

Attachment:

2018-10-04_1334.png [ 18.47 KiB | Viewed 430 times ]

_________________
Intern
Joined: 15 Aug 2018
Posts: 1
Re: In the figure below, what is the perimeter of triangle BCD?  [#permalink]

### Show Tags

04 Oct 2018, 05:33
In triangle ABD, by pythagoras theorem - BD=4√3 . And in triangle BCD, with BD as 4√3, by pythgoras theorem- CD=8. So perimeter of traingle BCD= 4+4√3+8= 12+4√3 ans.
Manager
Joined: 19 Apr 2017
Posts: 50
In the figure below, what is the perimeter of triangle BCD?  [#permalink]

### Show Tags

04 Oct 2018, 06:11
1
Im not sure if there is a shorter method. I used Pythagorean Theorem twice to solve it.

In Triangle ABD
$$BD^2=AB^2+AD^2$$
$$BD^2=4^2+(4√2)^2=16+32=48$$
$$BD=4√3$$

In Triangle BCD
$$CD^2=BC^2+BD^2$$
$$CD^2=4^2+(4√3)^2$$
$$CD^2=16+16(3)=64$$
CD=8

Perimeter of triangle BCD $$= BC+CD+DB = 4+8+4√3=12+4√3$$
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4328
Location: United States (CA)
Re: In the figure below, what is the perimeter of triangle BCD?  [#permalink]

### Show Tags

07 Oct 2018, 18:28
Bunuel wrote:
In the figure below, what is the perimeter of triangle BCD?

(A) 4 + 4√3
(B) 12
(C) 12 + 4√3
(D) 8 + 8√3
(E) 16√2

Attachment:
2018-10-04_1334.png

We can use the Pythagorean theorem to determine the length of side BD:

4^2 + (4√2)^2 = BD^2

16 + 32 = BD^2

48 = BD^2

√48 = BD

Using the Pythagorean theorem we can determine side CD.

4^2 + (√48)^2 = CD^2

16 + 48 = CD^2

64 = CD^2

8 = CD

So the perimeter of triangle BCD is 4 + 8 + √48 = 12 + 4√3

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: In the figure below, what is the perimeter of triangle BCD? &nbs [#permalink] 07 Oct 2018, 18:28
Display posts from previous: Sort by