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17 Sep 2018, 21:54
Kudos
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E
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:
48% (01:29) correct
52%
(01:31)
wrong
based on 134
sessions
History
Date
Time
Result
Not Attempted Yet
If a triangle has sides 8, 10, and z, which of the following cannot be the area of the triangle?
A. 3
B. 6
C. 12
D. 24
E. 46
A. 3
B. 6
C. 12
D. 24
E. 46
18 Sep 2018, 01:10
Kudos
Bookmarks
Bunuel
If a triangle has sides 8, 10, and z, which of the following cannot be the area of the triangle?
A. 3
B. 6
C. 12
D. 24
E. 46
A. 3
B. 6
C. 12
D. 24
E. 46
Property : For given two sides of triangle and third side missing, the area of the triangle is maximum when the given two sides are perpendicular to each other. (Derivation attached)
i.e. \(A_{max.} = (1/2)*8*10 = 40\)
i.e. any number greater than 40 can NOT be area of this triangle
Answer: Option E
Attachments
File comment: www.GMATinsight.com
Geometry Question.jpg [ 88.48 KiB | Viewed 3149 times ]
General Discussion
23 Sep 2018, 16:38
Kudos
Bookmarks
Bunuel
If a triangle has sides 8, 10, and z, which of the following cannot be the area of the triangle?
A. 3
B. 6
C. 12
D. 24
E. 46
A. 3
B. 6
C. 12
D. 24
E. 46
If the triangle is a right triangle with z being the hypotenuse, then the two legs 10 and 8 will be the base and height of the triangle. In that case, the area of the triangle is ½ x 10 x 8 = 40. This is the maximum area for a triangle with two sides of 8 and 10; thus, any area less than 40 is a possible value for the area. Thus, answer choice E cannot be the area of the triangle.
Answer: E
