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# M04 #12

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03 Jul 2010, 06:50
assume one of the non hyp sides is AB = x. then the other side AC = 24/x because the product of the two sides 24.

using these two sides - the hypotenuse BC = sqrt(x^2 + [24/x]^2)
We are required to find AB times BC which IMO is AB*BC
x*sqrt(x^2 + [24/x]^2)

But we don't know the value of x. A gives the value of x. So IMO the ans should be D - we need both choices to answer the question. I am not sure how B could be right.

Even if AB times BC means AB/BC we still can't do without taking both choices into consideration
because then we would have to calculate
x/sqrt(x^2 + [24/x]^2)
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06 Jul 2010, 22:09
If you draw the triangle you will see that AB and BC are the 2 short sides of the right triangle. You are asked for AB*BC, but stmt 1 doesn't say anything about BC. Stmt 2 instead gives you exactly the answer (you can read it as AB*BC=24). That's why the answer is B!
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06 Jul 2010, 23:55
Thanks guys
i just got confused with the wording
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20 Jul 2010, 05:12
I am missing something. Can someone tell me how a triangle can have 4 distinct points, A,B,C,D? Can someone please sketch the question so that I can see the triangle visually?
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20 Jul 2010, 06:00
I just subscribed to the daily question. I was wondering where everyone obtains the possible answer choices for the quant questions?

Thanks!
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20 Jul 2010, 12:01
I think point D is given only to make the question li'l tricky. But, the statement 2 directly gives the answer. So, answer is B.
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20 Jul 2010, 12:38
thanks vitar, thanks moss
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20 Jul 2010, 17:56
Good question. At first I drew an isosceles right triangle with height BD. Almost went with answer D. Then when I read (2) I thought wait could there be two different length sides?

I have found on the GMAT some times thinking creatively can be bad. For example, if you draw the picture you see 3 triangles:
ABC
ABD
BDC

However, the question only mentions one triangle ABC. You must limit yourself to this limited concept.

Similar to which is the assumption questions on Critical Reasoning, about a subject that you know well.

If you draw a diagram try thinking about this in two different colors, or draw using 2 different line types.

For example,
Attachment:

onetriangle.JPG [ 5.31 KiB | Viewed 1898 times ]
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20 Jul 2010, 18:23
Dear TallJTinChina,
if you are referring to the picture with 3 triangles please read explanation first.
there is stated that only FIRST option is possible in accordance to the q-n.
Regards,
VT
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If distinct points A , B , C , and D form a right triangle [#permalink]

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30 Aug 2010, 11:10
Why is S1 insufficient? As given in the question, ABC is a right triangle with a height BD, which means B is the right angle and AC is the hypotenuse. Then AB has to be equal to BC and if AB = 6 then BC = 6 too and gives the product of AB and BC.

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.

 Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
 Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
 BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
 EACH statement ALONE is sufficient
 Statements (1) and (2) TOGETHER are NOT sufficient

Explanation:

Statement (1) by itself is insufficient. is unknown.

Statement (2) by itself is sufficient. is the hypotenuse. We know that is the right angle because height can be drawn only from the right angle vertex. The four points are distinct and, consequently, can't be congruent with any of the legs. Now that we know what angle is the right angle, the product is of and (non-hypotenuse sides) is given in S2
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Re: If distinct points A , B , C , and D form a right triangle [#permalink]

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30 Aug 2010, 11:49
if AB = 6 then BC = 6
This is not right.
I have attached a diagram to show how it is possible to have BC (equal or not equal to AB).
Attachments

photo (1).jpg [ 107.6 KiB | Viewed 2188 times ]

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21 Sep 2010, 00:58
Does the height "BD" specifically mean BD has to be within the triangle? Could BD just "happen" to be the same length as the height of the right triangle?

For example, if the height of ABC was 4 units, could you not draw D 4 units away from B, in effect saying BD = the height, but it just isn't specifically diagramming it?
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11 Oct 2010, 02:10
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

from 1. It is very clear that, i can not determine the the value of AB times BC ?

So 1 not suffi...

from II)

the product of non-hypotenuse sides is equal to 24 ...

from this , How can i say.. the value of AB is {N times } of BC..

i believe we can not get the value of AB TIMES of BC.

Please give me clear explanation if some one knows.
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13 Oct 2010, 10:45
a-insuffecient
b-it's mentioned that abc is right triangle and bd is perpendicular.that means bd can be base or on height.the product of non hypo is given so its difficult to get the result.

taking both the statements we can get the result
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14 Oct 2010, 09:17
Have we missed a figure or something to post? Because there may be many interpretations without a figure right?

Cheers!
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14 Oct 2010, 14:54
sounds like B

From 1), AD can be = DC but not necessarily true in all cases. So, cannot find BC.
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16 Oct 2010, 04:35
i didn't get this question....
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10 Dec 2010, 10:03
OA is B.

DB is the height, so point D is the same as C, and therefore AB and BD(BC) are the cathetus.
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Senior Manager
Status: Bring the Rain
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10 Dec 2010, 12:34
Great question.

Thanks for the explanation.
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Re: If distinct points A , B , C , and D form a right triangle [#permalink]

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01 Apr 2011, 11:31
this question is rly unclear to me...
is it possible they give the whole answer in statement 2?!
is it GMAT style?
am i missing something?
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Re: If distinct points A , B , C , and D form a right triangle   [#permalink] 01 Apr 2011, 11:31

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# M04 #12

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