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25 Jul 2021, 06:04
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Tornikea
Question: is ∆ABC and Obtuse andgled triangle?
PROPERTIES
- For a triangle to be an Obtuse angled Triangle, \(c^2 > a^2 + b^2\)
- For a triangle to be an Acute angled Triangle, \(c^2 < a^2 + b^2\) where c must be the longets side
- For a triangle to be a Right angled Triangle, \(c^2 = a^2 + b^2\)
- For a triangle to be an Obtuse angled Triangle, \(c^2 > a^2 + b^2\)
- For a triangle to be an Acute angled Triangle, \(c^2 < a^2 + b^2\) where c must be the longets side
- For a triangle to be a Right angled Triangle, \(c^2 = a^2 + b^2\)
Statement 1: \(a^2 + b^2 > c^2\)
since it's not defined whether c is the longest side or not, therefore, we can NOT judge about the type of triangle hence
NOT SUFFICIENT
Statement 2: The center of the circle circumscribing the triangle does not lie inside the triangle
PROPERTIES
- If centre of the circle is outside the tringle in a circumscribed triangle then the triangle is an Obtuse angled triangle
- If centre of the circle is inside the tringle in a circumscribed triangle then the triangle is an Acute angled triangle
- If centre of the circle is On the side of the circumscribed tringle then it will be a RIght angled triangle
- If centre of the circle is outside the tringle in a circumscribed triangle then the triangle is an Obtuse angled triangle
- If centre of the circle is inside the tringle in a circumscribed triangle then the triangle is an Acute angled triangle
- If centre of the circle is On the side of the circumscribed tringle then it will be a RIght angled triangle
SUFFICIENT
ANswer: Option B
Attachment:
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echo9000
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23 Apr 2023, 05:08
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GMATinsight
The official answer is E because it assumes that a point that is right on the triangle perimeter technically "does not lie inside" that triangle. It seems that GMAT quant is not like in tennis: if it touches the line, it's considered inside.
If I imagine the triangle as a solid shape, without any line on the perimeter, then a point at the outer border is definitely inside.
Very subtle, but that's the difference between B and E.
Bunuel GMATNinja avigutman I'd like to hear your take on this
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23 Apr 2023, 07:05
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echo9000
Hi echo9000, I wouldn't read too much into this since it's not an official GMAT question, as IanStewart pointed out.
