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26 Jan 2016, 05:22
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
87% (01:18) correct
13%
(01:24)
wrong
based on 78
sessions
History
Date
Time
Result
Not Attempted Yet
On MNP, MN is perpendicular to MP, MP = 24, and NP = 26. What is the area of MNP in square units?
A. 312
B. 240
C. 120
D. 60
E. 30
Attachment:
2016-01-24_1653.png [ 2.46 KiB | Viewed 3549 times ]
26 Jan 2016, 05:32
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In right angled \(\triangle\) NMP
NM^2 = NP^2 - MP^2
= 26^2 - 24^2
=676 - 576
= 100
NM= 10
area of \(\triangle\) MNP = 1/2 *NM *MP
= 1/2 *10 * 24
= 120
Answer C
NM^2 = NP^2 - MP^2
= 26^2 - 24^2
=676 - 576
= 100
NM= 10
area of \(\triangle\) MNP = 1/2 *NM *MP
= 1/2 *10 * 24
= 120
Answer C
26 Jan 2016, 23:02
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Bunuel
First simply calculate MN using Pythagoras Theorem i.e. h^2=p^2+b^2
MN=\sqrt{26^2-24^2}
=10
Now
Area of MNP=1/2*MN*MP=1/2*24*10=120 units
