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# On a map Town G is 10 centimeters due east of Town H and 8 centimeters

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Intern
Joined: 14 Sep 2017
Posts: 33
Location: Italy
On a map Town G is 10 centimeters due east of Town H and 8 centimeters  [#permalink]

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03 Apr 2018, 02:50
1
00:00

Difficulty:

25% (medium)

Question Stats:

80% (01:45) correct 20% (01:28) wrong based on 50 sessions

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On a map Town G is 10 centimeters due east of Town H and 8 centimeters due south of Town J. Which of the following is closest to the straight-line distance, in centimeters, between Town H and Town J on the map?

A. 6
B. 13
C. 18
D. 20
E. 24
Math Expert
Joined: 02 Sep 2009
Posts: 52431
Re: On a map Town G is 10 centimeters due east of Town H and 8 centimeters  [#permalink]

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03 Apr 2018, 02:59
Fedemaravilla wrote:
On a map Town G is 10 centimeters due east of Town H and 8 centimeters due south of Town J. Which of the following is closest to the straight-line distance, in centimeters, between Town H and Town J on the map?

A. 6
B. 13
C. 18
D. 20
E. 24

Check the diagram below:

$$x=\sqrt{10^2+8^2}=\sqrt{164}$$, which is little less than 13^2 = 169.

Attachment:

Untitled.png [ 2.15 KiB | Viewed 401 times ]

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Re: On a map Town G is 10 centimeters due east of Town H and 8 centimeters &nbs [#permalink] 03 Apr 2018, 02:59
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