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monirjewel
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In the xy plane, the vertices of a triangle have coordinates Updated on: 31 Oct 2016, 23:23
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.
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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) (14)
(C) (16)
(D) (17)
(E) 12+3 root 2

How to draw graph on this?
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E
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Bunuel
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In the xy plane, the vertices of a triangle have coordinates 05 Nov 2010, 21:08
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monirjewel
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
Show more

The formula to calculate the distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\).

Distance between (0, 0) and (7, 0) is \(d=7\);
Distance between (0, 0) and (3, 3) is \(d=\sqrt{(0-3)^2+(0-3)^2}=\sqrt{18}=3\sqrt{2}\);
Distance between (3, 3) and (7, 0) is \(d=\sqrt{(3-7)^2+(3-0)^2}=5\);

\(P=7+3\sqrt{2}+5=12+3\sqrt{2}\).

Answer: E.

For more check Coordinate Geometry chapter of Math Book: math-coordinate-geometry-87652.html

Hope it helps.
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In the xy plane, the vertices of a triangle have coordinates 14 Nov 2016, 07:09
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monirjewel
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) (14)
(C) (16)
(D) (17)
(E) 12+3 root 2

How to draw graph on this?
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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)
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In the xy plane, the vertices of a triangle have coordinates 29 Oct 2010, 00:27
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Moving to PS sub-forum ...


!
Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/
Please post DS questions in the DS subforum: gmat-data-sufficiency-ds-141/

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
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In the xy plane, the vertices of a triangle have coordinates 05 Nov 2010, 20:31
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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
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In the xy plane, the vertices of a triangle have coordinates 03 Jan 2013, 04:10
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monirjewel
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
Show more

Get distance between (0,0) and (3,3): \(\sqrt{(3 - 0)^2 + (3-0)^2} = \sqrt{(18)} = 3 \sqrt{(2)}\)
Get distance between (3,3) and (7,0): \(\sqrt{(7-3)^2 + (3-0)^2} = \sqrt{16 + 9}= \sqrt{25}=5\)
Get distance between (0,0) and (7,0): 7

\(P = 7 + 5 + 3\sqrt{2} = 12 + \sqrt{2}\)

Answer: E
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In the xy plane, the vertices of a triangle have coordinates 31 Jul 2016, 02:15
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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
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In the xy plane, the vertices of a triangle have coordinates 31 Jul 2016, 02:25
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megha_2709
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
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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:

\(area=|\frac{a_x(b_y-c_y)+b_x(c_y-a_y)+c_x(a_y-b_y)}{2}|\).
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In the xy plane, the vertices of a triangle have coordinates 01 Aug 2016, 13:42
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Bunuel
megha_2709
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:

\(area=|\frac{a_x(b_y-c_y)+b_x(c_y-a_y)+c_x(a_y-b_y)}{2}|\).
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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
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In the xy plane, the vertices of a triangle have coordinates 31 Oct 2016, 17:09
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Relatively straight-forward 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[(3-0)^2 + (3-7)^2] = sqrt(9+16) = sqrt(25) =5

Add them all up --> 12+ 3sqrt(2)

E
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In the xy plane, the vertices of a triangle have coordinates 27 May 2020, 00:04
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An efficient way of solving this problem is by recalling common sides of a triangle.

- We know that the length of one of the sides is 7 simply because it's the distance between coordinates (0,0) and (7,0).

- We can split the triangle into 2 smaller triangles
--> Triangle 1 coordinates (0,0), (3,3) and (3,0)
--> Triangle 2 coordinates (3,0), (3,3) and (7,0)

- Triangle 1 has sides that appear to be very similar to the common triangle with sides (1):(1):(√2). In fact, its sides can be written as (3):(3):(3√2) and now we know that one side of the original triangle is (3√2).

- Triangle 2 has sides that are exactly the same as the common triangle with sides (3):(4):(5) and now we know that one side of the original triangle is (5).


Our perimeter is (7) + (3√2) + (5) = 12 +3√2

Looking at the answer choices, we can also tell that the only answer choice that contains (3√2) is answer choice E
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In the xy plane, the vertices of a triangle have coordinates 04 Oct 2025, 06:41
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