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26 May 2019, 23:12
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What is the length of side OP in triangle NOP below?
A. 10
B. 30
C. \(\sqrt{34}\)
D. \(5\sqrt{34}\)
E. \(10\sqrt{34}\)
#GREexcecise What are the lengths of sides NO and OP in triangle NOP below.jpg [ 9.76 KiB | Viewed 2874 times ]
A. 10
B. 30
C. \(\sqrt{34}\)
D. \(5\sqrt{34}\)
E. \(10\sqrt{34}\)
Attachment:
#GREexcecise What are the lengths of sides NO and OP in triangle NOP below.jpg [ 9.76 KiB | Viewed 2874 times ]
26 May 2019, 23:23
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Bunuel
What is the length of side OP in triangle NOP below?
A. 10
B. 30
C. \(\sqrt{34}\)
D. \(5\sqrt{34}\)
E. \(10\sqrt{34}\)
A. 10
B. 30
C. \(\sqrt{34}\)
D. \(5\sqrt{34}\)
E. \(10\sqrt{34}\)
Attachment:
#GREexcecise What are the lengths of sides NO and OP in triangle NOP below.jpg
The small and big triangles are similar. Similar triangles have corresponding sides proportional-
40/50 = 24/NO
x= OP
So, NO = 30, now applying pythagoras
x^2 = 50^2 + 30^2
x^2 = 2500 + 900 =3400
x= 10 root(34) E
27 May 2019, 02:39
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Leo has given a perfect solution.
Just adding up.
Hypotenuse of smaller triangle with sides 24 and 32 will be 32.
(Note 24 and 32 are triplets of the form 3,4,5 ) where multiplication factor is 8 so no need to do calculation with SQRT formula.
Now, the hypotenuse of larger triangle that is OP will be anything that is greater than 32.We see only option E is greater than 32 .So option E
Press Kudos if it helps!!
Just adding up.
Hypotenuse of smaller triangle with sides 24 and 32 will be 32.
(Note 24 and 32 are triplets of the form 3,4,5 ) where multiplication factor is 8 so no need to do calculation with SQRT formula.
Now, the hypotenuse of larger triangle that is OP will be anything that is greater than 32.We see only option E is greater than 32 .So option E
Press Kudos if it helps!!
