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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cut each other in half
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sanju09
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Sanjeev K Saxena
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Sanjeev K Saxena
Quantitative Instructor
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bubbliiiiiiii
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IMO D.
Figure as under,
P
/ |
/ |
M / |
--------------
/ T |N
/ |
Q/ |
PT=10, TN=6.
Apply pythogaras theorem to triangle PTN to obtain PN.
Figure as under,
P
/ |
/ |
M / |
--------------
/ T |N
/ |
Q/ |
PT=10, TN=6.
Apply pythogaras theorem to triangle PTN to obtain PN.
Regards,
Pranay
Pranay
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Brent@GMATPrepNow
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Might be useful to sketch this out.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
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