If vertices of a triangle have coordinates (-2, 2), : DS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 28 Feb 2017, 10:04

### 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 June
Open Detailed Calendar

# If vertices of a triangle have coordinates (-2, 2),

Author Message
Manager
Joined: 13 Oct 2009
Posts: 115
Location: USA
Schools: IU KSB
Followers: 4

Kudos [?]: 82 [0], given: 66

If vertices of a triangle have coordinates (-2, 2), [#permalink]

### Show Tags

10 Dec 2009, 12:42
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 3 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If vertices of a triangle have coordinates $$(-2, 2), (3, 2), (x, y)$$ , what is the area of the triangle?

1. $$|y - 2| = 1$$
2. angle at the vertex $$(x, y)$$ equals 90 degrees
Manager
Joined: 07 Jul 2009
Posts: 230
Followers: 3

Kudos [?]: 99 [1] , given: 13

Re: If vertices of a triangle have coordinates (-2, 2), (3, 2) [#permalink]

### Show Tags

10 Dec 2009, 20:50
1
KUDOS
swatirpr wrote:
If vertices of a triangle have coordinates $$(-2, 2), (3, 2), (x, y)$$ , what is the area of the triangle?

1. $$|y - 2| = 1$$
2. angle at the vertex $$(x, y)$$ equals 90 degrees

It's A.
Stmt1 tells us that y can be 1 or 3. In either case area will be same. Sufficient.

Stmt2 tells us nothing about y, which we need in order to calculate the area of the triangle. Insufficient.
Manager
Joined: 22 Jul 2009
Posts: 201
Location: Manchester UK
Followers: 3

Kudos [?]: 408 [0], given: 6

Re: Bacteria Population, Area of Triangle [#permalink]

### Show Tags

16 Dec 2009, 06:19
I have doubt for S1: even though Y can take 1 or 3 but we dont know the value of X so how can we calulate the area?

Now for S2: if the angle is 90 then slope of the line (-2,2) and (x,y) * 1/ slope of the line (3,2) and (x,y) = -1

i.e. y-2/x+2 * x-3/y-2 = -1 on solving we get x but dont know y so insuff
Manager
Joined: 13 Oct 2009
Posts: 115
Location: USA
Schools: IU KSB
Followers: 4

Kudos [?]: 82 [0], given: 66

Re: Bacteria Population, Area of Triangle [#permalink]

### Show Tags

16 Dec 2009, 06:35
sagarsabnis wrote:
I have doubt for S1: even though Y can take 1 or 3 but we dont know the value of X so how can we calulate the area?

Now for S2: if the angle is 90 then slope of the line (-2,2) and (x,y) * 1/ slope of the line (3,2) and (x,y) = -1

i.e. y-2/x+2 * x-3/y-2 = -1 on solving we get x but dont know y so insuff

Plot $$(-2, 2), (3, 2),$$ and $$y=3$$ and $$y=1$$

Consider line passing through (-2, 2) and (3, 2) base. You find that irrespective of value of x the height of triangle with vertex y=3 or y=1 is 1.

Hope its clear now.
Verbal Forum Moderator
Joined: 02 Aug 2009
Posts: 4370
Followers: 359

Kudos [?]: 3697 [0], given: 106

Re: Bacteria Population, Area of Triangle [#permalink]

### Show Tags

16 Dec 2009, 06:41
hi.... area will be same irrespective of value of x...
area will be (5(dist between two given pts..its llel to x axis)*ht)/2...
ht will be basically dist to y axis , which will depend on only y's value and y is 1 in both cases..
ans A
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Re: Bacteria Population, Area of Triangle   [#permalink] 16 Dec 2009, 06:41
Display posts from previous: Sort by