It is currently 22 Nov 2017, 01:13

### 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

# Triangle ABC is symmetric about the y-axis. Point A is locat

Author Message
TAGS:
Senior Manager
Joined: 20 May 2014
Posts: 263
Followers: 7

Kudos [?]: 31 [0], given: 181

Triangle ABC is symmetric about the y-axis. Point A is locat [#permalink]  12 Nov 2017, 01:05
00:00

Difficulty:

5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Triangle ABC is symmetric about the y-axis. Point A is located at (-4,0), and AB is the longest side of ABC. If the perimeter of ABC is 18, what is the area?

A. 3√2
B. 6
C. 6√2
D. 12
E. 24

Kudos for correct solution.
[Reveal] Spoiler: OA
Director
Joined: 03 Sep 2017
Posts: 522
Followers: 0

Kudos [?]: 202 [1] , given: 66

Re: Triangle ABC is symmetric about the y-axis. Point A is locat [#permalink]  13 Nov 2017, 00:07
1
KUDOS
Since the triangle is symmetric with respect to axis y, one of its points, A, is (-4, 0) and AB is the longest side, AB = 8. Then, given 18 is the perimeter, we can derive the length of the two other sides as being 5 and 5. Thus, focusing on one half of the triangle we can notice that it is right-angled and its sides are a Pythagorean triplet 3-4-5. Then, the height of the triangle is 3.

The area of ABC is then computed as (8*3)/2 = 12

Re: Triangle ABC is symmetric about the y-axis. Point A is locat   [#permalink] 13 Nov 2017, 00:07
Display posts from previous: Sort by