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31 Mar 2020, 21:49
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B
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Difficulty:
75%
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Question Stats:
26% (01:26) correct
74%
(01:23)
wrong
based on 65
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Is the triangle ABC with sides a,b,c a right-angled triangle?
1) \(a^2+b^2>c^2\)
2) \(a^2+c^2<b^2\)
1) \(a^2+b^2>c^2\)
2) \(a^2+c^2<b^2\)
GMATBuster's Collection
Updated on: 01 Apr 2020, 12:20
Originally posted by preetamsaha on 31 Mar 2020, 22:08.
Last edited by preetamsaha on 01 Apr 2020, 12:20, edited 1 time in total.
Last edited by preetamsaha on 01 Apr 2020, 12:20, edited 1 time in total.
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ST (1) : a2+b2>c2
if, a=3,b=3,c=3 ; the triangle is not right angled triangle .
if, a=3, b=5, c=4 : the triangle is not right angled triangle . INSUFFICIENT
ST (1) : a2+b2<c2
angle C is >90
so, the triangle is an obtuse triangle, NOT right angled triangle. SUFFICIENT
correct answer will be B
if, a=3,b=3,c=3 ; the triangle is not right angled triangle .
if, a=3, b=5, c=4 : the triangle is not right angled triangle . INSUFFICIENT
ST (1) : a2+b2<c2
angle C is >90
so, the triangle is an obtuse triangle, NOT right angled triangle. SUFFICIENT
correct answer will be B
31 Mar 2020, 22:59
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Statement 1 -
Case 1- a=5; b=3; c=4 (right angled triangle)
a^2+b^2>c^2
Case 2 - a=3; b=3; c=3 (acute angled triangle)
a^2+b^2>c^2
Insufficient
Statement 2- a^2+b^2 < c^2
Angle C > 90 degrees
Hence it can't be right angle triangle
Sufficient
B
Tho it's a faulty question, as both statements are contradicting each other.
Case 1- a=5; b=3; c=4 (right angled triangle)
a^2+b^2>c^2
Case 2 - a=3; b=3; c=3 (acute angled triangle)
a^2+b^2>c^2
Insufficient
Statement 2- a^2+b^2 < c^2
Angle C > 90 degrees
Hence it can't be right angle triangle
Sufficient
B
Tho it's a faulty question, as both statements are contradicting each other.
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