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Triangles & Diagonals - Manhattan Gmat

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by shanice » Tue Apr 17, 2012 6:02 am
Hi all,

Please help me with this problem:-

Beginning in Town A, Biker Bob rides his bike 10 miles west, 3 miles north, 5 miles east, and then 9 miles north, to Town B.How far apart are Town A and Town B? (Ignore the curvature of the earth).

Answer is 13 miles.

Please explain in detail.

Thank you in advance.
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by aneesh.kg » Tue Apr 17, 2012 6:19 am
Image

(click on the image to enlarge it)

The Vertical distance between A to B is 12.
The horizontal distance is 5.

Using the Pythagoras' Theorem, AB^2 = 12^2 + 5^2,
AB = 13
Last edited by aneesh.kg on Tue Apr 17, 2012 6:32 am, edited 1 time in total.
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by sam2304 » Tue Apr 17, 2012 6:32 am
13 - Same approach as above.
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by shanice » Tue Apr 17, 2012 7:33 am
Thank you, guys
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by ronnie1985 » Tue Apr 17, 2012 8:59 am
Take effective distance in north and west and apply pythagoras theorem
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