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Is the area of the equilateral triangle E greater than the area of the

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Is the area of the equilateral triangle E greater than the area of the  [#permalink]

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New post 17 Oct 2017, 04:21
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Question Stats:

40% (01:52) correct 60% (01:29) wrong based on 47 sessions

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Is the area of the equilateral triangle E greater than the area of the isosceles right triangle R?

(1) One side of E is 10 and one side of R is 8.
(2) 8 is the smaller side of R

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Re: Is the area of the equilateral triangle E greater than the area of the  [#permalink]

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New post 17 Oct 2017, 05:43
nkmungila wrote:
Is the area of the equilateral triangle E greater than the area of the isosceles right triangle R?

(1) One side of E is 10 and one side of R is 8.
(2) 8 is the smaller side of R



Let's see what each statement tells us..
1) One side of E is 10and one side of R is 8.

So area of E =\(10^2*\frac{√3}{4}=25*√3=25*1.732~42\)
Now 8 can be equal side of R or the hypotenuse, but larger area will be when EQUAL sides are 8.... Area=1/2 *8*8=32..

So in all cases ans is YES
Suff

2) 8 is the smaller side of R..
Nothing much
Insufficient

A
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: Is the area of the equilateral triangle E greater than the area of the &nbs [#permalink] 17 Oct 2017, 05:43
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