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What is the area of triangle ABC shown above?

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GMAT Club Legend
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What is the area of triangle ABC shown above? [#permalink] New post 01 Jun 2016, 16:48
Expert's post
00:00

Question Stats:

75% (01:48) correct 25% (00:06) wrong based on 8 sessions
Image

What is the area of triangle ABC shown above?
A. 18
B. 20
C. \(\frac{12}{3}\)
D. \(\frac{18}{3}\)
E. 36

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Question: 7
Page: 101


[Reveal] Spoiler: img
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[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

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Re: What is the area of triangle ABC shown above? [#permalink] New post 01 Jun 2016, 16:52
Expert's post
Explanation

The triangle is a 30°-60°-90° triangle, so the ratio of the lengths of the legs is 1 to \(\sqrt{3}\). Since the
length of the shorter leg, AB, is 6, it follows that the length of the longer leg, AC, is \(\frac{6}{3}\). The area
of the triangle is therefore \(\frac{1}{2}6*6\sqrt{3}\), or \(18\sqrt{3}\).

The correct answer is Choice D.
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Re: What is the area of triangle ABC shown above? [#permalink] New post 05 Jul 2017, 20:00
sandy wrote:
Explanation

The triangle is a 30°-60°-90° triangle, so the ratio of the lengths of the legs is 1 to \(\sqrt{3}\). Since the
length of the shorter leg, AB, is 6, it follows that the length of the longer leg, AC, is \(\frac{6}{3}\). The area
of the triangle is therefore \(\frac{1}{2}6*6\sqrt{3}\), or \(18\sqrt{3}\).

The correct answer is Choice D.


How come 18\sqrt{3} will be equal to 18/3?
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Re: What is the area of triangle ABC shown above? [#permalink] New post 05 Jul 2017, 20:26
Hi
The choices mentioned are wrong..

I took 4 minutes and 40 seconds and could not get my head around the choices until I saw your solution which mentions that D is correct..

Correct the typos and please make sure that there are no typos at-least in the question part.

Thank you.
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Re: What is the area of triangle ABC shown above? [#permalink] New post 26 Jul 2017, 00:30
Doesn't D say 18/3 than 18/root 3? Please check the symbols - I picked A cause that was the closes to 18*root3
Thank you
Re: What is the area of triangle ABC shown above?   [#permalink] 26 Jul 2017, 00:30
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