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:

In triangle ABC, point X is the midpoint of side AC and [#permalink]

Show Tags

01 Aug 2008, 03:27

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

In triangle ABC, point X is the midpoint of side AC and point Y is the midpoint of side BC. If point R is the midpoint of line segment XC and if point S is the midpoint of line segment YC, what is the area of triangle region RCS (1) the area of triangular region ABX is 32 (2) the length of one of the altitudes of triangle ABC is 8 A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient. B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient. C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient. D. Each Statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.

In triangle ABC, point X is the midpoint of side AC and point Y is the midpoint of side BC. If point R is the midpoint of line segment XC and if point S is the midpoint of line segment YC, what is the area of triangle region RCS (1) the area of triangular region ABX is 32 (2) the length of one of the altitudes of triangle ABC is 8 A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient. B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient. C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient. D. Each Statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.

IMO A given that RCS is similar to YXC ,YXC is similar to BCX which is similar to ABC. (1) gives area of ABX which can be used to get area of RCS since these are all similar triangles (2) does not indicate are but just the altitude hence cant help in finding are of RCS

IMO A . Reason : as ACB and RCS are symitrical triangles, there sides will be proportionate ( ratio 1:4 ).. and so area will be also propotionate , but with a square.. i.e 1: 16.. as the area of ACB is 64 as per statement 1, the area of RCS it bill be 4. statement 2 is not sufficient as the altitue can be any of the 3.

In triangle ABC, point X is the midpoint of side AC and point Y is the midpoint of side BC. If point R is the midpoint of line segment XC and if point S is the midpoint of line segment YC, what is the area of triangle region RCS (1) the area of triangular region ABX is 32 (2) the length of one of the altitudes of triangle ABC is 8 A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient. B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient. C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient. D. Each Statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.

IMO A given that RCS is similar to YXC ,YXC is similar to BCX which is similar to ABC. (1) gives area of ABX which can be used to get area of RCS since these are all similar triangles (2) does not indicate are but just the altitude hence cant help in finding are of RCS

(1) is suffi and (2) is not

IMO A

How come BCX similar to ABC? I agree that RCS is similar to ABC.

Given ABX=32.. is it possible to find ABC area?
_________________

Your attitude determines your altitude Smiling wins more friends than frowning

In an earlier reply : given that RCS is similar to YXC ,YXC is similar to BCX which is similar to ABC. (1) gives area of ABX which can be used to get area of RCS since these are all similar triangles (2) does not indicate are but just the altitude hence cant help in finding are of RCS