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If distinct points A, B, C, and D form a right triangle ABC

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Intern
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If distinct points A, B, C, and D form a right triangle ABC [#permalink] New post 10 Aug 2011, 07:44
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

64% (01:29) correct 35% (01:14) wrong based on 14 sessions
If distinct points A, B, C, and D form a right triangle ABC with a height BD, what is the value of AB times BC?

1) AB = 6
2) The product of the non-hypotenuse sides is equal to 24.

So this question hinges on figuring out which angle is the right angle. According to the OA, ABC must be the right angle, but why? If all points are distinct, drawing a line from point B to point D should be impossible without making D = A or C... right? Unless I'm visualizing this wrong.

halp?
[Reveal] Spoiler: OA
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Re: Geometry [#permalink] New post 10 Aug 2011, 08:27
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Rotate the diagram clock-wise. Let the hypotenuse be its base and then find height.
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Re: Geometry [#permalink] New post 10 Aug 2011, 08:04
Answer is B.

Check out the attached diagram.
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Intern
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Re: Geometry [#permalink] New post 10 Aug 2011, 08:08
In that diagram, is AB = BD?
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Re: Geometry [#permalink] New post 10 Aug 2011, 08:14
Not necessarily. We cant say that from given info.

The question asks us to calculate AB * BC.

Statement 1, AB = 6. Not sufficient.

Statement 2, AB * BC = 24. This is what we wanted!! Sufficient.

So answer is B.
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Re: Geometry [#permalink] New post 10 Aug 2011, 08:15
Maybe I'm confused as to what "height of a triangle" is.
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Re: Geometry [#permalink] New post 10 Aug 2011, 08:26
The height of the right triangle angle is (always) length of line which is drawn from vertex(point of 90degree) to hypotenuse and which is perpendicular to hypotenuse.
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Re: Geometry [#permalink] New post 10 Aug 2011, 11:36
far257 wrote:
In that diagram, is AB = BD?


Note that points A, B, C, and D are distinct....

far257 wrote:
If distinct points A, B, C, and D form a right triangle ABC with a height BD...................
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Re: Geometry [#permalink] New post 10 Aug 2011, 11:42
Fistail,

Sorry, I did not get your point.
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Re: Geometry [#permalink] New post 10 Aug 2011, 11:55
piyatiwari wrote:
Fistail,

Sorry, I did not get your point.


If points A, B, C, and D are distinct, AB = BD is not possible.

Fistail wrote:
far257 wrote:
In that diagram, is AB = BD?


Note that points A, B, C, and D are distinct....

far257 wrote:
If distinct points A, B, C, and D form a right triangle ABC with a height BD...................
Re: Geometry   [#permalink] 10 Aug 2011, 11:55
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