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# Which of the following is the perimeter of an equilateral triangle

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Math Expert
Joined: 02 Sep 2009
Posts: 41884

Kudos [?]: 128929 [0], given: 12183

Which of the following is the perimeter of an equilateral triangle [#permalink]

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10 Sep 2017, 04:41
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Difficulty:

25% (medium)

Question Stats:

88% (00:25) correct 12% (00:26) wrong based on 34 sessions

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Which of the following is the perimeter of an equilateral triangle with a side of x, if $$\sqrt{x^8}=81$$ ?

A. 27

B. $$9\sqrt{3}$$

C. 9

D. $$3\sqrt{3}$$

E. 3
[Reveal] Spoiler: OA

_________________

Kudos [?]: 128929 [0], given: 12183

Director
Joined: 22 May 2016
Posts: 814

Kudos [?]: 264 [0], given: 552

Which of the following is the perimeter of an equilateral triangle [#permalink]

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10 Sep 2017, 08:47
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Bunuel wrote:
Which of the following is the perimeter of an equilateral triangle with a side of x, if $$\sqrt{x^8}=81$$ ?

A. 27

B. $$9\sqrt{3}$$

C. 9

D. $$3\sqrt{3}$$

E. 3

Find side x, if x = $$\sqrt{x^8}=81$$

$$\sqrt{x^8}=81$$ =

$$(x^8)^{\frac{1}{2}}$$ = $$x^4$$

$$x^{4} = 81$$

$$x = 3$$

If x = 3, the perimeter of the equilateral triangle is

(3)(3) = 9

[Reveal] Spoiler:
C

Kudos [?]: 264 [0], given: 552

Which of the following is the perimeter of an equilateral triangle   [#permalink] 10 Sep 2017, 08:47
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