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Intern
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If distinct points A, B, C, and D form a right triangle ABC [#permalink]
 10 Aug 2011, 08:44
Question Stats:
63% (01:37) correct
36% (01:13) wrong based on 0 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?
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Senior Manager
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Answer is B. Check out the attached diagram.
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Intern
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GMAT 1: 750 Q50 V43
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In that diagram, is AB = BD?
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Senior Manager
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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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Intern
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GMAT 1: 750 Q50 V43
GPA: 3.4
WE: Analyst (Consulting)
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Maybe I'm confused as to what "height of a triangle" is.
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Senior Manager
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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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Senior Manager
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Rotate the diagram clock-wise. Let the hypotenuse be its base and then find height.
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Director
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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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Senior Manager
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Fistail,
Sorry, I did not get your point.
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Director
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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...................
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