BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

In triangle ABC

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 200
Joined: Thu Aug 07, 2008 5:14 pm
Thanked: 1 times

In triangle ABC

by ska7945 » Sun Sep 07, 2008 11:56 pm
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 triangular region RCS ?
(1) The area of triangular region ABX is 32.
(2) The length of one of the altitudes of triangle ABC is 8.
let's beat GMAT.
Top
Source: — Data Sufficiency |
Legendary Member
Posts: 829
Joined: Mon Jul 07, 2008 10:09 pm
Location: INDIA
Thanked: 84 times
Followed by:3 members

Re: In triangle ABC

by sudhir3127 » Mon Sep 08, 2008 8:53 am
ska7945 wrote: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 triangular region RCS ?
(1) The area of triangular region ABX is 32.
(2) The length of one of the altitudes of triangle ABC is 8.
i go with A. and area of RCS is 4.

do let me know if its right so that i can post my solution.
Top
Newbie | Next Rank: 10 Posts
Posts: 9
Joined: Mon May 05, 2008 11:31 am

by shahdevang87 » Mon Sep 08, 2008 9:05 am
What's the OA? I will also go with A.
Top
Newbie | Next Rank: 10 Posts
Posts: 3
Joined: Sun Sep 07, 2008 10:19 am

by ramlakhavan » Mon Sep 08, 2008 9:26 am
IMO A, by Using similar triangles
Top
Junior | Next Rank: 30 Posts
Posts: 15
Joined: Sun Sep 07, 2008 4:02 pm

Explain your solution

by gmat_nov_2008 » Mon Sep 08, 2008 1:31 pm
Hi ramlakhavan,
How did you use similar triangles to solve this?

Thanks.
Top
Master | Next Rank: 500 Posts
Posts: 200
Joined: Thu Aug 07, 2008 5:14 pm
Thanked: 1 times

by ska7945 » Mon Sep 08, 2008 5:03 pm
oa is a
and it doesnt state whether the triangle is right triangle.
let's beat GMAT.
Top
Master | Next Rank: 500 Posts
Posts: 165
Joined: Wed May 28, 2008 11:25 pm
Thanked: 9 times
GMAT Score:730

by sumithshah » Mon Sep 08, 2008 8:00 pm
can someone explain how?
Top
Junior | Next Rank: 30 Posts
Posts: 15
Joined: Sun Oct 21, 2007 5:03 am
Location: bangalore
Thanked: 1 times

easy one

by Aspirant008 » Mon Sep 08, 2008 10:05 pm
similar triangles
abc is similar to xyz


the 2 mid point ones are simiollar
yea
but abx ?


axb is 32 so trapezium axyb is 64



and then.. u can find triangle is rcs
A is suff

Altitude with help , so b is insuff
a is ans

Regards,
Arshad
https://aim-mba.blocked
Top
Master | Next Rank: 500 Posts
Posts: 122
Joined: Mon Sep 22, 2008 5:11 pm
Thanked: 1 times

by abcdefg » Wed Jul 15, 2009 3:16 pm
don't understand the suggested solution here. can someone help please. thanks.
Top
Master | Next Rank: 500 Posts
Posts: 122
Joined: Mon Sep 22, 2008 5:11 pm
Thanked: 1 times

by abcdefg » Wed Jul 15, 2009 9:02 pm
I've attached a picture of the solution. What I don't get is what they mean by the triangles are similar since their corresponding interior angles have the same measure. How do we know that? Thanks.
Attachments
triangle.JPG
Top
Junior | Next Rank: 30 Posts
Posts: 12
Joined: Fri May 22, 2009 7:27 am

Tough one

by rajshree.misra » Wed Jul 15, 2009 10:02 pm
Hey!

I came across this question in the MGMAT:

If Pool Y currently contains more water than Pool X, and if Pool X is currently filled to 2/7 of its capacity, what percent of the water currently in Pool Y needs to be transferred to Pool X if Pool X and Pool Y are to have equal volumes of water?

(1) If all the water currently in Pool Y were transferred to Pool X, Pool X would be filled to 6/7 of its capacity.

(2) Pool X has a capacity of 14,000 gallons.

Any suggestions on the answer. Have a go at it. Will post the answer after I receive a few responses.

Thanks!
R
Top
Master | Next Rank: 500 Posts
Posts: 141
Joined: Sat Feb 28, 2009 8:19 am
Thanked: 1 times

by getso » Thu Jul 16, 2009 6:04 am
Hello .

I got we could solve by A. But Could you please provide me the explaination on how to deduce the area of Triangle RCS.

Thanks,
Shobha
Top
Master | Next Rank: 500 Posts
Posts: 122
Joined: Mon Sep 22, 2008 5:11 pm
Thanked: 1 times

by abcdefg » Thu Jul 16, 2009 8:33 am
I'm posting the 2nd part of the solution. Now I understand why the triangles are similar but is there any quick way to do this problem? It took me a long long time to figure this problem out.

Almost impossible to solve given the time limits on the exam.
Attachments
triangle 2.JPG
Top
Newbie | Next Rank: 10 Posts
Posts: 5
Joined: Sat Oct 04, 2008 11:53 pm

by hberens » Tue Jul 21, 2009 10:48 pm
It says in the provided solution that "BF, YG, and SH are perpendicular to AC". How can you assume that this is true? What if you didn't draw your triangle the way that they did? You can't assume that dropping a line from any corner of a triangle will result in a 90 degree angle.
Top
Senior | Next Rank: 100 Posts
Posts: 43
Joined: Tue Mar 31, 2009 9:54 am
Thanked: 2 times

by glorydefined » Tue Aug 25, 2009 12:00 pm
Hey Rajshree,

Is the answer 'A' for your question?

Thanks,
Selva
Top
Post new topic Post Reply