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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

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:

Re: What is the perimeter of a certain right triangle? [#permalink]

Show Tags

06 Mar 2017, 04:21

Because we know 10 is the hypotenuse so it should be from the set (6,8,10). Option 1 sufficient Area is 24. Ie base * height = 24 * 2 = 48 48 we factorize and see if any of the no:S from right triangle set is derived i.e. 48= 2^4 * 3, which is 8*6 and 12* 4. 4,12 doesn't form a set of right triangle sides but 6,8 forms a set and the third side is 10. Therefore perimeter is 24 . Thus option D.

==> In the original condition, for a right triangle, there are 2 variables (2 legs) and in order to match the number of variables to the number of equations, there must be 2 equations. Since there is 1 for con 1) and 1 for con 2), C is most likely to be the answer. By solving con 1) and con 2), you get 6:8:10 and the perimeter of the right triangle becomes 6+8+10=24, hence unique and sufficient.

Therefore, the answer is C. Answer: C
_________________

Question : Can you please elaborate more the answer? How did you get the 6 and 8?

Assume we have two sides \(a\) and \(b\) and a hypothesis 10. Then we have \(a^2 + b^2 = 100\) and \(\frac{1}{2}ab = 24\) Thus \(a = 6\), \(b = 8\) or \(a = 8\), \(b = 6\).
_________________