Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 13 Jun 2012
Posts: 182
Location: United States
WE: Supply Chain Management (Computer Hardware)

In the rectangular coordinate system, the vertices of a triangle have [#permalink]
Show Tags
01 Mar 2015, 16:26
Question Stats:
76% (02:03) correct 24% (02:14) wrong based on 112 sessions
HideShow timer Statistics
In the rectangular coordinate system, the vertices of a triangle have coordinates (3,0), (3,2), and (0,11). What is the area of the triangle. 1.15 2.18 3.24 4.30 5.36
Official Answer and Stats are available only to registered users. Register/ Login.



Math Expert
Joined: 02 Aug 2009
Posts: 5890

Re: In the rectangular coordinate system, the vertices of a triangle have [#permalink]
Show Tags
02 Mar 2015, 00:03
Turkish wrote: In the rectangular coordinate system, the vertices of a triangle have coordinates (3,0), (3,2), and (0,11). What is the area of the triangle.
1.15 2.18 3.24 4.30 5.36 hi turkish, you can find the length of three sides.. 1)\(\sqrt{( (33)^2+(02)^2)}\)=\(\sqrt{40}\) say side A 2)\(\sqrt{( (30)^2+(011)^2)}\)=\(\sqrt{130}\) say side B 3)\(\sqrt{( (30)^2+(211)^2)}\)=\(\sqrt{90}\).. say side C now you can see A^2 + c^2 = B^2... this means there is a right angle between sides A and C.. so area=1/2*A*C=1/2*\(\sqrt{40}\)*\(\sqrt{90}\)=30.. ans D...
_________________
Absolute modulus :http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
GMAT online Tutor



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11801
Location: United States (CA)
GRE 1: 340 Q170 V170

Re: In the rectangular coordinate system, the vertices of a triangle have [#permalink]
Show Tags
02 Mar 2015, 00:12
Hi Turkish, I'm going to offer some suggestions so that you can physically attempt this question on your own: 1) Draw a quick graph/sketch and plot those 3 coordinates. Connect the coordinates with lines. The graph doesn't have to be perfect. 2) Draw a rectangle "around" this triangle. Your rectangle should have the following 4 corners: (3,0), (3,0), (3,11), (3,11) 3) You should see your original triangle and 3 right triangles. 4) Figure out the area of the rectangle and subtract the areas of the 3 right triangles. This will give you the area of the original triangle. GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************



Current Student
Joined: 06 Jul 2015
Posts: 12
Concentration: Entrepreneurship, Technology
GMAT 1: 690 Q50 V34 GMAT 2: 720 Q50 V38

Re: In the rectangular coordinate system, the vertices of a triangle have [#permalink]
Show Tags
15 Jan 2016, 13:51
Approximate by supposing that the vertex (3,2) is on the xaxis forming an isosceles triangle: (3,2) > (something>3;0)
Then, the area of this approximate isosceles triangle would be 6*11/2 = 33 The area of the actual triangle must be a little bit less than that of the approximate triangle. Thus 30, answer D.



BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2642
GRE 1: 323 Q169 V154

Re: In the rectangular coordinate system, the vertices of a triangle have [#permalink]
Show Tags
23 Apr 2017, 13:32
Here is an alternate and a bit easier approach provide you know how to solve a 3x3 matrix => USE THE DETERMINANT METHOD. Area of a triangle => 1/2Determinant Value
Lets get the determinant of the matrix =>
1 3 0 1 3 2 1 0 11
Determinant => 1(33)  (3)(112) + 0(03) => 33+27=60
Hence the area of the triangle => 1/2 * 60 => 30
SMASH THAT D.
_________________
MBA Financing: INDIAN PUBLIC BANKS vs PRODIGY FINANCE! Getting into HOLLYWOOD with an MBA! The MOST AFFORDABLE MBA programs!STONECOLD's BRUTAL Mock Tests for GMATQuant(700+)AVERAGE GRE Scores At The Top Business Schools!



Manager
Joined: 17 Aug 2012
Posts: 157
Location: India
Concentration: General Management, Strategy
GPA: 3.75
WE: Consulting (Energy and Utilities)

Re: In the rectangular coordinate system, the vertices of a triangle have [#permalink]
Show Tags
26 Apr 2017, 01:40
area of triangle = ½ y₁ (x₂  x₃) + y₂ (x₃  x₁) + y₃ (x₁  x₂) =1/2 { 27 + 33} =30



Manager
Status: Gmat lover
Joined: 27 Mar 2017
Posts: 87
Location: India
GPA: 3.91

Re: In the rectangular coordinate system, the vertices of a triangle have [#permalink]
Show Tags
15 May 2017, 13:22
Using Matrix Method 3 0 1  3 2 1  0 11 1 3(211)+33=60 taking half of matrix=30
_________________
_________________ Rules for posting in verbal Gmat forum, read it before posting anything in verbal forum Giving me + 1 kudos if my post is valuable with you
The more you like my post, the more you share to other's need.
“The great secret of true success, of true happiness, is this: the man or woman who asks for no return, the perfectly unselfish person, is the most successful.” Swami Vivekananda



Intern
Joined: 11 Feb 2017
Posts: 24
Location: India
GPA: 3.57
WE: Engineering (Computer Software)

Re: In the rectangular coordinate system, the vertices of a triangle have [#permalink]
Show Tags
16 May 2017, 00:51
1/2 ( 3(211)+3(110)+0(02)) = 30




Re: In the rectangular coordinate system, the vertices of a triangle have
[#permalink]
16 May 2017, 00:51






