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P, Q, R, S and T are five points such that R is somewhere

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P, Q, R, S and T are five points such that R is somewhere  [#permalink]

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New post 01 May 2012, 21:31
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Difficulty:

  15% (low)

Question Stats:

85% (02:18) correct 15% (02:49) wrong based on 168 sessions

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P, Q, R, S and T are five points such that R is somewhere between point P and Q on a straight line. The distance between P and Q is 8 units. The point S is 6 units to the north of R and point T is 6 units to the east of S and north of point Q. Calculate the shortest distance between point P and T?

A. 14
B. 10
C. 11
D. 12
E. 13
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Re: P, Q, R, S and T are five points such that R is somewhere  [#permalink]

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New post 01 May 2012, 23:51
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gmihir wrote:
P, Q, R, S and T are five points such that R is somewhere between point P and Q on a straight line. The distance between P and Q is 8 units. The point S is 6 units to the north of R and point T is 6 units to the east of S and north of point Q. Calculate the shortest distance between point P and T?

A. 14
B. 10
C. 11
D. 12
E. 13


Notice that we are told that T is 6 units north of point Q.

Look at the diagram below:
Attachment:
PQRST.png
PQRST.png [ 2.98 KiB | Viewed 5173 times ]
The shortest distance between point P and T is \(\sqrt{6^2+8^2}=10\).

Answer: B.
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Re: P, Q, R, S and T are five points such that R is somewhere  [#permalink]

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New post 28 Oct 2013, 14:04
1
I think it's worth noting that if you recall the 3 4 5 right triangle rule you can save some time on this question.
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Re: P, Q, R, S and T are five points such that R is somewhere  [#permalink]

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New post 01 Oct 2018, 22:20
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Re: P, Q, R, S and T are five points such that R is somewhere   [#permalink] 01 Oct 2018, 22:20
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