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The product of BE and AC

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sandy
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The product of BE and AC [#permalink] New post   26 Sep 2018, 15:13
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Quantity A
Quantity B
The product of BF and AC
The product of BC and AD


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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C
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B
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Re: The product of BE and AC [#permalink] New post   22 Oct 2018, 23:18
2
A triangle will have the same area no matter what side is chosen as the base, provided the perpendicular should be such that it is perpendicular to the side chosen as base.
Hence in this case there are two different sides as base and two different perpendicular appropriate for the base in question. Hence C
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Re: The product of BE and AC [#permalink] New post   23 Oct 2018, 08:44
Can we see the explanation?
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Re: The product of BE and AC [#permalink] New post   23 Oct 2018, 19:13
Hovsep wrote:
Can we see the explanation?



Simple explanation is that the area of a triangle is equal to .5(B*H). Quantity A has the base (AC) + the height (BE). Quantity B has the base (BC) + the height (AD) as well, but from a different direction. Since this is the base and height of the same ABC triangle, the answer is C (equal) since we can assume the area is the same and thus the base and height values COMBINED will be the same (the base and height are in a ratio to eachother).

On the other hand, had the question not given us the 90 degree angles (thus AD and BE not necessarily being the heights) or had it asked if BE = AD or AC = BC, the answer would have been D since you can't make geometric assumptions about a drawing being "to scale" on the GRE.
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Re: The product of BE and AC [#permalink] New post   11 Jan 2019, 21:32
Areas of a triangle is always same.
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Re: The product of BE and AC [#permalink] New post   30 Mar 2020, 16:06
A key here is to note that these are base and height. Product of base and height is area.
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Re: The product of BE and AC [#permalink] New post   07 Jan 2022, 22:51
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wrong typing, it should be BF not BE
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Re: The product of BE and AC [#permalink] New post   08 Jan 2022, 00:21
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nhinguyen151 wrote:
wrong typing, it should be BF not BE



thank you fixed it
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