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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.
Last edited by Bunuel on 31 Oct 2016, 23:23, edited 1 time in total.
Renamed the topic.
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (01:38) correct
11%
(01:44)
wrong
based on 722
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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?
(A) 13
(B) (14)
(C) (16)
(D) (17)
(E) 12+3 root 2
How to draw graph on this?
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
(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 \(d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\).
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.
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?
(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 31945 times ]
