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# What is the length of the line segment that connects A to B ?

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Math Expert
Joined: 02 Sep 2009
Posts: 47157
What is the length of the line segment that connects A to B ?  [#permalink]

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24 Oct 2017, 01:25
00:00

Difficulty:

5% (low)

Question Stats:

90% (00:24) correct 10% (00:24) wrong based on 59 sessions

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What is the length of the line segment that connects A to B ?

(A) $$\sqrt{3}$$

(B) 2

(C) $$2\sqrt{2}$$

(D) 4

(E) 8

Attachment:

2017-10-24_1216.png [ 7.83 KiB | Viewed 755 times ]

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Re: What is the length of the line segment that connects A to B ?  [#permalink]

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24 Oct 2017, 02:17
Distance between two co-ordinate points = √[(x2−x1)^2+(y2−y1)^2]

Distance between A & B = √[(1−(-1))^2+(3−5)^2] = √[(1+1)^2+(−2)^2] = √[4+4] = 2√2

Ans: C.
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What is the length of the line segment that connects A to B ?  [#permalink]

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25 Oct 2017, 16:30
Bunuel wrote:

What is the length of the line segment that connects A to B ?

(A) $$\sqrt{3}$$

(B) 2

(C) $$2\sqrt{2}$$

(D) 4

(E) 8

Attachment:
2017-10-24_1216.png

Base of triangle = 2

|$$x_2 - x_1| =|1 -(-1)| = 2$$

Height of triangle = 2

|$$y_2 - y_1| = |5 - 3| = 2$$

It's an isosceles right triangle (45-45-90) with side length ratio of $$x: x: x\sqrt{2}$$

Sides = $$2$$
Hypotenuse =
distance between A and B = $$2\sqrt{2}$$

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What is the length of the line segment that connects A to B ? &nbs [#permalink] 25 Oct 2017, 16:30
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