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cut each other in half

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by sanju09 » Fri Apr 08, 2011 12:59 am
Line MN is perpendicular to line NP. Also, line PQ and line MN bisect each other (cut each other in half) at point T. If the length of MN is 12 and the length of PQ is 20, what's the length of PN?
(A) 4.3
(B) 6.4
(C) 7.2
(D) 8
(E) 12
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by HSPA » Fri Apr 08, 2011 1:04 am
In the mentioned rigt triangle : PT = 10 and MN = 6 Hence NP shall be 8

IMO D
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by force5 » Mon Apr 11, 2011 2:12 am
too vague !! HSPA you have assumed that PQ and NP are also intersecting...
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by bubbliiiiiiii » Mon Apr 11, 2011 3:17 am
IMO D.

Figure as under,


P
/ |
/ |
M / |
--------------
/ T |N
/ |
Q/ |

PT=10, TN=6.
Apply pythogaras theorem to triangle PTN to obtain PN.
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Pranay
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by Brent@GMATPrepNow » Mon Apr 11, 2011 9:03 am
sanju09 wrote:Line MN is perpendicular to line NP. Also, line PQ and line MN bisect each other (cut each other in half) at point T. If the length of MN is 12 and the length of PQ is 20, what's the length of PN?
(A) 4.3
(B) 6.4
(C) 7.2
(D) 8
(E) 12
Might be useful to sketch this out.
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