144144 wrote:
Fluke - my friend,
Isnt the 2nd statement exactly what they are asking in the question?
am i missing something here?
I believe you are correct!!!
2nd statement is telling us exactly what the question had asked.
Stem says:
ABC is a right angled triangle. My only concern here is that the question stem doesn't explicitly say that the triangle ABC is a right angled triangle,
right angled at B. I am assuming that the triangle is right angled at B.
Now, Point D is located somewhere in the co-ordinate such that BD becomes the height.
Attached image is showing 3 of the possible scenarios where D can be located. D can superimpose A i.e. D and A can be the two points at the same co-ordinate, D and B can be the two points at the same co-ordinate or D can somewhere be on the line segment AC, which is the hypotenuse.
Now, we need to find out AB*BC. Note: we don't need to know AB and BC individually. So far we get "AB*BC", we are good.
St1: AB=6; We don't know anything about BC and thus AB*BC can't be found. Not Sufficient.
St2: The product of the non-hypotenuse sides is equal to 24. From the stem, we know AB and BC are the non-hypotenuse sides. Thus, the statement 2 is telling us exactly what we wanted to know. Sufficient.
Turns out that extra information about the BD was given just to provide some extraneous information and confuse the test takers. We could have done without that. Well!! I feel that there is some loop hole in this question and I don't consider it to be one of my favorites.
You are missing out on a very important word mentioned in the question - DISTINCT. The question states that A,B, C and D are distinct points. Hence the only valid figure here is the second one as D cannot superimpose any other point.
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