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

Redeem

Inscribed circle

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Master | Next Rank: 500 Posts
Posts: 112
Joined: Thu Mar 22, 2012 9:33 am
Thanked: 1 times
Followed by:1 members

Inscribed circle

by rommysingh » Thu Aug 06, 2015 6:55 pm
For the triangle shown above, where A, B and C are all points on a circle, and line segment AB has length 18, what is the area of triangle ABC?

(1) Angle ABC measures 30°.

(2) The circumference of the circle is 18.
Image
Top
Source: — Data Sufficiency |
User avatar
Master | Next Rank: 500 Posts
Posts: 490
Joined: Thu Jul 04, 2013 7:30 am
Location: Chennai, India
Thanked: 83 times
Followed by:5 members

by Uva@90 » Thu Aug 06, 2015 10:45 pm
rommysingh wrote:For the triangle shown above, where A, B and C are all points on a circle, and line segment AB has length 18, what is the area of triangle ABC?

(1) Angle ABC measures 30°.

(2) The circumference of the circle is 18.
Image
Hi Rommy Singh,

Here they are testing the below rule,

Angle formed through the diameter of the circle is 90 degree.

Apply the above rule.

Thanks.
Regards,
Uva.
Known is a drop Unknown is an Ocean
Top
User avatar
MBA Admissions Consultant
Posts: 2279
Joined: Fri Nov 11, 2011 7:51 am
Location: New York
Thanked: 660 times
Followed by:266 members
GMAT Score:770

by Jim@StratusPrep » Fri Aug 07, 2015 8:32 am
Statement 2 is supposed to say the circumference is 18Ï€, correct?

Assuming so...

1) We don't know anything about the triangle with just 1 angle and 1 side
2) We know now that angle C is 90 based off the rule Uva mentioned, but we don't know anything else

Together - Now we know that this is a 30-60-90 triangle; with 1 side, we can get all the side and the area.


C
GMAT Answers provides a world class adaptive learning platform.
-- Push button course navigation to simplify planning
-- Daily assignments to fit your exam timeline
-- Organized review that is tailored based on your abiility
-- 1,000s of unique GMAT questions
-- 100s of handwritten 'digital flip books' for OG questions
-- 100% Free Trial and less than $20 per month after.
-- Free GMAT Quantitative Review

Image
Top
Post new topic Post Reply
• Page 1 of 1