Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Does GMAT RC seem like an uphill battle? e-GMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT
If a triangle has sides 8, 10, and z, which of the following cannot be
[#permalink]
Show Tags
18 Sep 2018, 01:10
2
Bunuel wrote:
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
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
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772 Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
Re: If a triangle has sides 8, 10, and z, which of the following cannot be
[#permalink]
Show Tags
23 Sep 2018, 16:38
Bunuel wrote:
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
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.
Re: If a triangle has sides 8, 10, and z, which of the following cannot be
[#permalink]
Show Tags
27 Sep 2018, 01:25
1
Bunuel wrote:
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
Just use logic. Think about it: given two sides and an unknown third - we can have a triangle with very very small area (almost 0), then the area increases and then finally starts decreasing again until it comes to 0 again. So there is a maximum limit to the area that the triangle can have. Hence given a range of increasing areas, the one which will not be possible is the largest one. For example, if 24 were not possible, 46 would not be possible too. But there is only one correct answer. Hence it must be 46 only.
Attachment:
TrianglesForm.jpeg [ 40.37 KiB | Viewed 433 times ]
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
close
51% (01:22) correct 
