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555-605 Level|   Geometry|                     
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Is the area of the triangular region above less than 20? 06 May 2021, 11:03
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Bunuel

Is the area of the triangular region above less than 20?

(1) x^2 + y^2≠ z^2
(2) x + y < 13
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Answer: Option E

Video solution by GMATinsight

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Is the area of the triangular region above less than 20? 16 Sep 2021, 23:39
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pushpitkc
Is the area of the triangular region above less than 20?

1) \(x^2 + y^2≠ z^2\)
\(x^2 + y^2\) , not being equal to \(z^2\)
could mean any of the following :
\(x^2 + y^2 < z^2\)
\(x^2 + y^2 > z^2\)
We cannot clearly ascertain what the values of x and y are.
Therefore, we cannot tell anything about the area of the triangular region. (Insufficient)

2) x + y < 13
If x+y < 13 the sum could be as less as 3 and as big as 12.
x = 1,y=2 will give us an area lesser than 20
x = 5,y=7 will give us an area greater than 20. (Insufficient)

Combining the statements, we still can't clearly tell anything about the area of the triangle
as already explained in Statement 2 (Insufficient - Option E)
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Since it is not given that it's a right-angled triangle, how have we calculated the area in statement two for comparison? I mean how have we considered the base and height to be x and y in this case? Please help me clear the confusion
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Is the area of the triangular region above less than 20? 09 May 2022, 11:21
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Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
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Is the area of the triangular region above less than 20? 23 Jul 2024, 09:27
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