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DS: Triangle

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Manager
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DS: Triangle [#permalink] New post 26 Nov 2007, 19:29
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Please explain your answers.
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Expert Post
CEO
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 [#permalink] New post 26 Nov 2007, 21:24
Expert's post
C.

1. angle ABC=30. we can move AC with constant angle ABC and obtain different area - INSUFF.

2. L=18Pi ==> d=18 ==> AB is diameter
but different angles ABC give us different area. - INSUFF

1&2. Area=1/2*(root(3)/2*18)*(1/2*18) - SUFF
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Re: DS: Triangle [#permalink] New post 26 Nov 2007, 22:41
empanado wrote:
Please explain your answers.


C.


S1: Key here is to realize that triangle ABC isnt said to be inscribed, so we cant assume its a right triangle.

S2: says its a right triangle b/c C=18pi. (if any two points equal the diameter of a circle of a triangle, then that triangle is inscribed).

But we dont know the other sides


Together we can assess its a 30, 60, 90 triangle.
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 [#permalink] New post 17 Dec 2007, 06:34
was leaning towards C as well, but kinda fluked out as I had forgotten some of the properties, especially the one about the stem not saying triangle was inscribed....i just assumed it
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 [#permalink] New post 17 Dec 2007, 06:53
How do you know that AB is the diameter? It's not specifically stated anywhere, so you cannot conclude that the triangle is a right (30/60/90) triangle.
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 [#permalink] New post 17 Dec 2007, 07:31
Expert's post
sonibubu wrote:
How do you know that AB is the diameter? It's not specifically stated anywhere, so you cannot conclude that the triangle is a right (30/60/90) triangle.


from second statement we have a diameter of circle: 18Pi=Pi*D ==> D=18.

AB is also 18 from question. There is only one possibilitiy: AB=D otherwise AB would be less than D=18
  [#permalink] 17 Dec 2007, 07:31
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