O is the center of the semicircle. if angle BCO = 6âˆš3...

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AAPL: Moderator; Posts: 2632; Joined: Sun Oct 29, 2017 2:08 pmFollowed by: 2 members

by AAPL » Fri Jan 12, 2018 3:10 pm

O is the center of the semicircle. If anfle BCO = 6âˆš3, What is the area of triangle ABO?

$$A.\ 4\sqrt{3}$$
$$B.\ 6\sqrt{3}$$
$$C.\ 9\sqrt{3}$$
$$D.\ 12\sqrt{3}$$
$$E.\ 24\sqrt{3}$$

The OA is C.

Is there a strategic approach to this PS question? Can any experts help me? Please. Thanks!

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Source: Beat The GMAT — Problem Solving | Fri Jan 12, 2018 3:10 pm

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Sat Jan 13, 2018 6:11 am

AAPL wrote:

O is the center of the semicircle. If anfle BCO = 6âˆš3, What is the area of triangle ABO?

$$A.\ 4\sqrt{3}$$
$$B.\ 6\sqrt{3}$$
$$C.\ 9\sqrt{3}$$
$$D.\ 12\sqrt{3}$$
$$E.\ 24\sqrt{3}$$

The OA is C.

Is there a strategic approach to this PS question? Can any experts help me? Please. Thanks!

I don't think you correctly transcribed the question.
If we're not given any lengths at all, it's impossible to find the area of triangle ABO

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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AAPL: Moderator; Posts: 2632; Joined: Sun Oct 29, 2017 2:08 pmFollowed by: 2 members

by AAPL » Sat Jan 13, 2018 1:01 pm

Oh! I so sorry! I have a mistake!
The question say,

O is the center of semicirle. If angle BCO = 30 and BC = 6âˆš3, what is the area of triangle ABO?

Thank you so much!

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