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Which is greater abc or h(a^2+b^2)
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17 Jan 2020, 11:21
17 Jan 2020, 11:21
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Question Stats:
45% (01:34) correct
55% (01:47) wrong based on 60 sessions
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Attachment:
#greprepclub Which is greater abc or h(a^2+b^2).jpg [ 18.88 KiB | Viewed 2258 times ]
Quantity A |
Quantity B |
\(abc\) |
\(h(a^2+b^2)\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
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Posts: 348
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Re: Which is greater abc or h(a^2+b^2)
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18 Jan 2020, 15:14
18 Jan 2020, 15:14
1
Carcass wrote:
Attachment:
#greprepclub Which is greater abc or h(a^2+b^2).jpg
Quantity A |
Quantity B |
\(abc\) |
\(h(a^2+b^2)\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
The area of the triangle with sides a, b, and c can be calculated in two ways:
1) \(1/2\)*b*a
2) \(1/2\)*c*h
So, \(1/2\)*b*a = \(1/2\)*c*h . ----- eq(1)
Quantity A
\(abc\)
\(abc\)
Dividing by c
ab
Dividing by 2
(1/2)(ab)
Quantity B
\(h(a^2+b^2)\)
since, \(a^2 + b^2= c^2 , h c^2 \)
hc
(1/2)(hc)
We determined these two quantities are equal in equation 1, Hence option C is correct.
Re: Which is greater abc or h(a^2+b^2)
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20 Dec 2022, 17:30
20 Dec 2022, 17:30
Could someone please give an alternate explanation for this questions?
