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x>90

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Carcass
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x>90 [#permalink] New post   26 Aug 2021, 01:44
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\(x>90\)

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
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B
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rx10
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Re: x>90 [#permalink] New post   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
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prachimishra
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Re: x>90 [#permalink] New post   29 Aug 2021, 23:36
Carcass , solution is unclear , could you please explain
Thanks!
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Re: x>90 [#permalink] New post   30 Aug 2021, 00:26
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prachimishra wrote:
Carcass , solution is unclear , could you please explain
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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gmatclubot
Re: x>90 [#permalink]
30 Aug 2021, 00:26
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