GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Which is greater abc or h(a^2+b^2)
[#permalink]
17 Jan 2020, 11:21
17 Jan 2020, 11:21
Expert Reply
1
Bookmarks
00:00
Question Stats:
45% (01:34) correct
55% (01:47) wrong based on 60 sessions
Hide Show timer Statistics
Attachment:
#greprepclub Which is greater abc or h(a^2+b^2).jpg [ 18.88 KiB | Viewed 2261 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
Retired Moderator
Joined: 03 Dec 2019
Posts: 348
Given Kudos: 0
Re: Which is greater abc or h(a^2+b^2)
[#permalink]
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)
[#permalink]
20 Dec 2022, 17:30
20 Dec 2022, 17:30
Could someone please give an alternate explanation for this questions?
