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# If AD is 6 and ADC is a right angle, what is the area of

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Re: Area of triangular region [#permalink]  15 Dec 2013, 22:21
Expert's post
AccipiterQ wrote:

I thought if you dropped a line down from a triangle vertex and it formed a right angle on the opposite side then that line bisected the side? So in this case if you know what BD is then you know what DC is?

To figure out whether it holds, why don't you try drawing some extreme figures, say, something like this:
Attachment:

Ques3.jpg [ 3.67 KiB | Viewed 441 times ]

Will this be true in this case?
When will it be true? When the triangle is equilateral, sure. Also when the triangle is isosceles if the equal sides form the angle from which the altitude is dropped.

Don't put your faith in the figure given. It may be just one of the many possibilities or may be somewhat misleading.
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Save $100 on Veritas Prep GMAT Courses And Admissions Consulting Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options. Veritas Prep Reviews Manager Affiliations: CrackVerbal Joined: 03 Oct 2013 Posts: 181 Location: India GMAT 1: 780 Q51 V46 Followers: 22 Kudos [?]: 91 [0], given: 2 Re: If AD is 6 and ADC is a right angle, what is the area of [#permalink] 15 Dec 2013, 22:50 amitjash wrote: Attachment: Triangle.jpg If AD is 6 and ADC is a right angle, what is the area of triangular region ABC? (1) Angle ABD = 60° (2) AC = 12 Statement I is insufficient The left triangle becomes a 90 30 60 triangle however we don't know anything about the right triangle Statement II is insufficient The right triangle becomes a 90 30 60 triangle however we don't know anything about the left triangle Combining is sufficient We know both the triangles are 90 30 60 with same sides. Hence Answer is C Pushpinder Gill _________________ If you find our response valuable, please encourage us with Kudos! Live online classes by 99th percentile instructors! http://gmat.crackverbal.com/gmat-courses/online/gmat-live-course/ Join the Verbal 40 Club & learn to Tackle Brutal GMAT Verbal Questions! http://gmat.crackverbal.com/gmat-verbal-40-bangalore Intern Joined: 17 Jun 2013 Posts: 5 Schools: ISB '14 Followers: 0 Kudos [?]: 1 [0], given: 29 Re: Area of triangular region [#permalink] 24 Jan 2014, 21:10 Hi Bunuel, I have a question. Can I not imagine that, in a right angled triangle if one of the side of a triangle bears x square root 3 as its length can I not imagine that it's a 30-60-90? If not why. Please help. Thanks Suneel Math Expert Joined: 02 Sep 2009 Posts: 23989 Followers: 3722 Kudos [?]: 30950 [0], given: 3265 Re: Area of triangular region [#permalink] 25 Jan 2014, 02:39 Expert's post dasikasuneel wrote: Hi Bunuel, I have a question. Can I not imagine that, in a right angled triangle if one of the side of a triangle bears x square root 3 as its length can I not imagine that it's a 30-60-90? If not why. Please help. Thanks Suneel What do you mean by "imagine"? How does the length of one side define the angles? _________________ Intern Joined: 30 Jan 2014 Posts: 1 Followers: 0 Kudos [?]: 0 [0], given: 5 Re: If AD is 6 and ADC is a right angle, what is the area of [#permalink] 06 Feb 2014, 10:28 Bunuel wrote: manimgoindowndown wrote: Hey I had the same question as the last poster. How do we know that BD and DC are of the same length? or that angle BAC has been bisected? They are not equal: BD=\frac{6}{\sqrt{3}} (from the first statement) and AD=6*\sqrt{3} (from the second statement). I think answer is E, since it is not given that BDC points are collinear. Math Expert Joined: 02 Sep 2009 Posts: 23989 Followers: 3722 Kudos [?]: 30950 [0], given: 3265 Re: If AD is 6 and ADC is a right angle, what is the area of [#permalink] 07 Feb 2014, 04:27 Expert's post virendrasd wrote: Bunuel wrote: manimgoindowndown wrote: Hey I had the same question as the last poster. How do we know that BD and DC are of the same length? or that angle BAC has been bisected? They are not equal: BD=\frac{6}{\sqrt{3}} (from the first statement) and AD=6*\sqrt{3} (from the second statement). I think answer is E, since it is not given that BDC points are collinear. That's not correct. OG13, page 272: A figure accompanying a data sufficiency problem will conform to the information given in the question but will not necessarily conform to the additional information given in statements (1) and (2). Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straight. You may assume that the positions of points, angles, regions, and so forth exist in the order shown and that angle measures are greater than zero degrees. All figures lie in a plane unless otherwise indicated. OG13, page 150: Figures: A figure accompanying a problem solving question is intended to provide information useful in solving the problem. Figures are drawn as accurately as possible. Exceptions will be clearly noted. Lines shown as straight are straight, and lines that appear jagged are also straight. The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. All figures lie in a plane unless otherwise indicated. Hope it helps. _________________ Senior Manager Joined: 06 Aug 2011 Posts: 409 Followers: 2 Kudos [?]: 68 [0], given: 82 Re: If AD is 6 and ADC is a right angle, what is the area of [#permalink] 18 Mar 2014, 00:11 what if question wud have been like this.. If AD is 6, and ADC is a right angle, what is the area of equilateral triangle ABC? _________________ Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score ! Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 4935 Location: Pune, India Followers: 1180 Kudos [?]: 5606 [0], given: 166 Re: If AD is 6 and ADC is a right angle, what is the area of [#permalink] 18 Mar 2014, 07:51 Expert's post sanjoo wrote: what if question wud have been like this.. If AD is 6, and ADC is a right angle, what is the area of equilateral triangle ABC? Then statement 1 would have been irrelevant and statement 2 would have been incorrect. If side of an equilateral triangle is 12, the altitude would be (\sqrt{3}/2)*12 = 6*\sqrt{3} But AD is given to be 6. _________________ Karishma Veritas Prep | GMAT Instructor My Blog Save$100 on Veritas Prep GMAT Courses And Admissions Consulting
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Re: If AD is 6 and ADC is a right angle, what is the area of   [#permalink] 18 Mar 2014, 07:51
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# If AD is 6 and ADC is a right angle, what is the area of

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