Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 06 Feb 2010
Posts: 138
Concentration: Marketing, Leadership
Schools: University of Dhaka  Class of 2010
GPA: 3.63
WE: Business Development (Consumer Products)

In the xyplane, the vertices of a triangle have coordinates (0,0),(3,
[#permalink]
Show Tags
Updated on: 31 Oct 2016, 23:23
Question Stats:
88% (01:40) correct 12% (01:35) wrong based on 269 sessions
HideShow timer Statistics
In the xyplane, the vertices of a triangle have coordinates (0,0),(3,3), and (7,0). What is the perimeter of the triangle? (A) 13 (B) (14) (C) (16) (D) (17) (E) 12+3 root 2 How to draw graph on this?
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by monirjewel on 28 Oct 2010, 22:18.
Last edited by Bunuel on 31 Oct 2016, 23:23, edited 1 time in total.
Renamed the topic.




Math Expert
Joined: 02 Sep 2009
Posts: 59712

Re: In the xy plane, the vertices
[#permalink]
Show Tags
05 Nov 2010, 21:08
monirjewel wrote: In the xy plane, the vertices of a triangle have coordinates(0,0), (3,3), and (7,0). What is the perimeter of the triangle? (A) 13 (B) 34 (C) root 43 (d) 7+root3 (E) 12 +3root2 The formula to calculate the distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_1x_2)^2+(y_1y_2)^2}\). Distance between (0, 0) and (7, 0) is \(d=7\); Distance between (0, 0) and (3, 3) is \(d=\sqrt{(03)^2+(03)^2}=\sqrt{18}=3\sqrt{2}\); Distance between (3, 3) and (7, 0) is \(d=\sqrt{(37)^2+(30)^2}=5\); \(P=7+3\sqrt{2}+5=12+3\sqrt{2}\). Answer: E. For more check Coordinate Geometry chapter of Math Book: mathcoordinategeometry87652.htmlHope it helps.
_________________




Retired Moderator
Joined: 02 Sep 2010
Posts: 717
Location: London

Re: In the xyplane, the vertices of a triangle have coordinates (0,0),(3,
[#permalink]
Show Tags
29 Oct 2010, 00:27
Moving to PS subforum ... To answer this question ... all you need is distance between vertices : (0,0) & (7,0) : 7 (0,0) & (3,3) : \(3\sqrt{2}\) (7,0) & (3,3) : \(\sqrt{16+9}=5\) Perimeter = sum of these three sides = \(12 + 3\sqrt{2}\) Answer : e
_________________



Manager
Joined: 06 Feb 2010
Posts: 138
Concentration: Marketing, Leadership
Schools: University of Dhaka  Class of 2010
GPA: 3.63
WE: Business Development (Consumer Products)

In the xy plane, the vertices of a triangle have coordinates
[#permalink]
Show Tags
05 Nov 2010, 20:31
In the xy plane, the vertices of a triangle have coordinates(0,0), (3,3), and (7,0). What is the perimeter of the triangle?
(A) 13 (B) 34 (C) root 43 (D) 7+root3 (E) 12 +3root2



Senior Manager
Joined: 13 Aug 2012
Posts: 397
Concentration: Marketing, Finance
GPA: 3.23

Re: In the xy plane, the vertices
[#permalink]
Show Tags
03 Jan 2013, 04:10
monirjewel wrote: In the xy plane, the vertices of a triangle have coordinates(0,0), (3,3), and (7,0). What is the perimeter of the triangle? (A) 13 (B) 34 (C) root 43 (d) 7+root3 (E) 12 +3root2 Get distance between (0,0) and (3,3): \(\sqrt{(3  0)^2 + (30)^2} = \sqrt{(18)} = 3 \sqrt{(2)}\) Get distance between (3,3) and (7,0): \(\sqrt{(73)^2 + (30)^2} = \sqrt{16 + 9}= \sqrt{25}=5\) Get distance between (0,0) and (7,0): 7 \(P = 7 + 5 + 3\sqrt{2} = 12 + \sqrt{2}\) Answer: E



Manager
Joined: 05 Sep 2014
Posts: 64

Re: In the xy plane, the vertices of a triangle have coordinates
[#permalink]
Show Tags
31 Jul 2016, 02:15
Hi Bunnuel,
Is there any formula to calculate area of triangle when all coordinates are known?
Please help. Many thanks in advance for your kind response
Regards Megha



Math Expert
Joined: 02 Sep 2009
Posts: 59712

Re: In the xy plane, the vertices of a triangle have coordinates
[#permalink]
Show Tags
31 Jul 2016, 02:25
megha_2709 wrote: Hi Bunnuel,
Is there any formula to calculate area of triangle when all coordinates are known?
Please help. Many thanks in advance for your kind response
Regards Megha I really doubt that you'll need it for the GMAT but here you go: If the vertices of a triangle are: \(A(a_x, a_y)\), \(B(b_x, b_y)\) and \(C(c_x,c_y)\) then the area of ABC is: \(area=\frac{a_x(b_yc_y)+b_x(c_ya_y)+c_x(a_yb_y)}{2}\).
_________________



Manager
Joined: 05 Sep 2014
Posts: 64

Re: In the xy plane, the vertices of a triangle have coordinates
[#permalink]
Show Tags
01 Aug 2016, 13:42
Bunuel wrote: megha_2709 wrote: Hi Bunnuel,
Is there any formula to calculate area of triangle when all coordinates are known?
Please help. Many thanks in advance for your kind response
Regards Megha I really doubt that you'll need it for the GMAT but here you go: If the vertices of a triangle are: \(A(a_x, a_y)\), \(B(b_x, b_y)\) and \(C(c_x,c_y)\) then the area of ABC is: \(area=\frac{a_x(b_yc_y)+b_x(c_ya_y)+c_x(a_yb_y)}{2}\). Ohh, A day before I saw question like that on gmat club. Anyways many thanks for your response and telling me its highly unlikely to come. Regards Megha



Current Student
Status: DONE!
Joined: 05 Sep 2016
Posts: 354

Re: In the xyplane, the vertices of a triangle have coordinates (0,0),(3,
[#permalink]
Show Tags
31 Oct 2016, 17:09
Relatively straightforward problem, though I'd suggest plotting it so you can visualize the sides and what two side lengths you will need to calculate.
Base length is 7
(1) Distance between (0,0) & (3,3) > sqrt[(3^2)+(3^2)] = 3sqrt(2)
(2) Distance between (3,3) & (7,0) > sqrt[(30)^2 + (37)^2] = sqrt(9+16) = sqrt(25) =5
Add them all up > 12+ 3sqrt(2)
E



Director
Joined: 06 Jan 2015
Posts: 699
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)

Re: In the xy plane, the vertices of a triangle have coordinates
[#permalink]
Show Tags
14 Nov 2016, 07:09
monirjewel wrote: In the xyplane, the vertices of a triangle have coordinates (0,0),(3,3), and (7,0). What is the perimeter of the triangle?
(A) 13 (B) (14) (C) (16) (D) (17) (E) 12+3 root 2
How to draw graph on this? Plot the graph and you will get two triangles one is pythagorean triples(3, 4, 5) and 3, 3, and 3sqrt(2) by this perimeter is 12+3sqrt(2)
Attachments
Triangle.jpg [ 685.55 KiB  Viewed 10596 times ]
_________________
आत्मनॊ मोक्षार्थम् जगद्धिताय च Resource: GMATPrep RCs With Solution



NonHuman User
Joined: 09 Sep 2013
Posts: 13740

Re: In the xy plane, the vertices of a triangle have coordinates
[#permalink]
Show Tags
15 Oct 2019, 03:06
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________




Re: In the xy plane, the vertices of a triangle have coordinates
[#permalink]
15 Oct 2019, 03:06






