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

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Manager
Joined: 07 Jun 2017
Posts: 176
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
Is the area of the equilateral triangle E greater than the area of the [#permalink]

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17 Oct 2017, 05:21
00:00

Difficulty:

85% (hard)

Question Stats:

30% (01:31) correct 70% (00:59) wrong based on 40 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
[Reveal] Spoiler: OA

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Naveen
email: nkmungila@gmail.com
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Joined: 02 Aug 2009
Posts: 5724
Re: Is the area of the equilateral triangle E greater than the area of the [#permalink]

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17 Oct 2017, 06:43
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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Re: Is the area of the equilateral triangle E greater than the area of the   [#permalink] 17 Oct 2017, 06:43
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