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Rectangle

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by colakumarfanta » Thu May 20, 2010 1:38 am
Is Rectangle ABCD a square ?
1) The length of a diagonal is square root 2
2) angle between diagonal and side of the angle is 45 degrees

OA [spoiler]should be A ...right ?[/spoiler]
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Source: — Data Sufficiency |
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by liferocks » Thu May 20, 2010 1:57 am
IMO Its E
From 1
a^2+b^2=2
now a^=1/2 and b^2=3/2 satisfies this as well as a^2=b^2=1..not suffcient

From2
No new info its providing

hence both together also not sufficient.Can you please check the OA?
"If you don't know where you are going, any road will get you there."
Lewis Carroll
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by kstv » Thu May 20, 2010 2:12 am
colakumarfanta wrote:Is Rectangle ABCD a square ?
1) The length of a diagonal is square root 2
2) angle between diagonal and side of the rectangle is 45 degrees
OA [spoiler]should be A ...right ?[/spoiler]
is 2) angle between diagonal and side of the rectangle ?
in that case the diagonal divides the rectangle into two isosceles triangle
and the two adjacent sides are equal
since it is a rectangel the opp sides are equal
therefore the rectangle is also a square.
Suff
1) the square of the diagonal is = 2
the sum of the square of the two adjacent sides should be = 2
if it was given that the sides have interger values than it is sufficient, otherwise not. So Insuff.
IMO B
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