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

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Manager
Joined: 13 Oct 2009
Posts: 115
Location: USA
Schools: IU KSB
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Kudos [?]: 54 [0], given: 66

If vertices of a triangle have coordinates (-2, 2), [#permalink]  10 Dec 2009, 12:42
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100% (00:00) correct 0% (00:00) wrong based on 2 sessions
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 [?]: 48 [1] , given: 13

Re: If vertices of a triangle have coordinates (-2, 2), (3, 2) [#permalink]  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: 205
Location: Manchester UK
Followers: 2

Kudos [?]: 77 [0], given: 6

Re: Bacteria Population, Area of Triangle [#permalink]  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 [?]: 54 [0], given: 66

Re: Bacteria Population, Area of Triangle [#permalink]  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: 848
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Kudos [?]: 310 [0], given: 16

Re: Bacteria Population, Area of Triangle [#permalink]  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
Re: Bacteria Population, Area of Triangle   [#permalink] 16 Dec 2009, 06:41
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