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20 Nov 2018, 00:56
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
55% (02:15) correct
45%
(02:33)
wrong
based on 132
sessions
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Not Attempted Yet
In right triangle LMN, the ratio of the longest side to the shortest side is 5 to 3. If the area of LMN is between 50 and 150, which of the following could be the length of the shortest side?Indicate all possible values.
I. 9
II. 12
III. 15
A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
I. 9
II. 12
III. 15
A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
20 Nov 2018, 02:06
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If LMN is a right triangle with a longest side of 5x and a shortest side of 3x, the remaining side needs to be 4x (Pythagorean tiplet, ratio 3-4-5).
That being said, we can plug in I, II and III for the shortest side to find the area of the triangle and determine whether the requirement of 50 < area LMN < 150 is met.
I: (9*12)/2 = 54
II: (12*16)/2 = 96
III: (15*20)/2 = 150
Thus, only I and II are possible values for the shortest side. Answer is D.
Please let me know if I missed something. I might be on the completely wrong track.
That being said, we can plug in I, II and III for the shortest side to find the area of the triangle and determine whether the requirement of 50 < area LMN < 150 is met.
I: (9*12)/2 = 54
II: (12*16)/2 = 96
III: (15*20)/2 = 150
Thus, only I and II are possible values for the shortest side. Answer is D.
Please let me know if I missed something. I might be on the completely wrong track.
Archit3110
Major Poster
20 Nov 2018, 09:36
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tomomnomnom
tomomnomnom : you have done correct , but why have you marked option D , infact all three options satisfy the requirement of area >50 and < 150 ... option E is correct..
i get dyslexic attacks sometimes i feel... god help me on D day... 
