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x>90
[#permalink]
26 Aug 2021, 01:44
26 Aug 2021, 01:44
Expert Reply
00:00
Question Stats:
66% (00:55) correct
33% (01:17) wrong based on 12 sessions
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Attachment:
GRE x.90.jpg [ 8.49 KiB | Viewed 870 times ]
\(x>90\)
Quantity A |
Quantity B |
The perimeter of \(\triangle ABC\) |
3 times the length of \(AC \) |
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
_________________
Re: x>90
[#permalink]
26 Aug 2021, 07:40
26 Aug 2021, 07:40
1
\(x > 90\), so \(AC\) is the longest length in the triangle.
Clearly, \(3AC > AB + BC + AC\)
Qt B > Qt A
Answer B
_________________
Clearly, \(3AC > AB + BC + AC\)
Qt B > Qt A
Answer B
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Re: x>90
[#permalink]
29 Aug 2021, 23:36
29 Aug 2021, 23:36
Carcass , solution is unclear , could you please explain
Thanks!
Thanks!
Re: x>90
[#permalink]
30 Aug 2021, 00:26
30 Aug 2021, 00:26
Expert Reply
1
Bookmarks
prachimishra wrote:
Carcass , solution is unclear , could you please explain
Thanks!
Thanks!
Well just using common sense.
If the angle is >90 must be at least 91. Therefore, the side on the opposite side of the biggest angle in a triangle is also the longest side.
If we do have 3 times this side vs the entire perimeter of the triangle must be greater.
suppose that the longest side we are talking is 7 the other two sides must be , I do not know, 6 and 6. Therefore the sum is 19
3*7 =21
It is just a question of common sense.
see more here
our math book https://gre.myprepclub.com/forum/gre-math- ... -2609.html
see also tricks geometry here https://gre.myprepclub.com/forum/gre-geome ... tml#p72092
Visualization of the figure is a powerful tool
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