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If the perimeter of an equilateral triangle is P, what is the altitude

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If the perimeter of an equilateral triangle is P, what is the altitude  [#permalink]

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New post 08 Mar 2019, 02:21
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

78% (01:31) correct 22% (02:13) wrong based on 41 sessions

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Re: If the perimeter of an equilateral triangle is P, what is the altitude  [#permalink]

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New post 08 Mar 2019, 02:38

Solution


Given:
    • Perimeter of an equilateral triangle = P

To find:
    • The altitude of the triangle, in terms of P

Approach and Working:
As the perimeter of the equilateral triangle is P,
    • Length of each side = \(\frac{P}{3}\)
    • Therefore, length of the altitude = \(\frac{√3}{2} * \frac{P}{3} = \frac{P√3}{6}\)

Hence, the correct answer is option E.

Answer: E

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Re: If the perimeter of an equilateral triangle is P, what is the altitude  [#permalink]

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New post 08 Mar 2019, 04:08
Bunuel wrote:
If the perimeter of an equilateral triangle is P, what is the altitude of the triangle in terms of P?


A. p/6

B. p/3

C. \(\frac{p\sqrt{3}}{2}\)

D. \(p\sqrt{3}\)

E. \(\frac{p\sqrt{3}}{6}\)


height of equilaterla triangele ' √3 * side / 2
so here side = P /3
so height = \(\frac{p\sqrt{3}}{6}\)
IMO E
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If the perimeter of an equilateral triangle is P, what is the altitude  [#permalink]

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New post 12 May 2019, 17:47
EgmatQuantExpert wrote:

Solution


Given:
    • Perimeter of an equilateral triangle = P

To find:
    • The altitude of the triangle, in terms of P

Approach and Working:
As the perimeter of the equilateral triangle is P,
    • Length of each side = \(\frac{P}{3}\)
    Therefore, length of the altitude = \(\frac{√3}{2} * \frac{P}{3} = \frac{P√3}{6}\)

Hence, the correct answer is option E.

Answer: E

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Hello EgmatQuantExpert!!!

Is the red part a formula?

Kind regards!
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Re: If the perimeter of an equilateral triangle is P, what is the altitude  [#permalink]

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New post 13 May 2019, 11:36
jfranciscocuencag wrote:
EgmatQuantExpert wrote:

Solution


Given:
    • Perimeter of an equilateral triangle = P

To find:
    • The altitude of the triangle, in terms of P

Approach and Working:
As the perimeter of the equilateral triangle is P,
    • Length of each side = \(\frac{P}{3}\)
    Therefore, length of the altitude = \(\frac{√3}{2} * \frac{P}{3} = \frac{P√3}{6}\)

Hence, the correct answer is option E.

Answer: E

Image


Hello EgmatQuantExpert!!!

Is the red part a formula?

Kind regards!


Hey jfranciscocuencag,
Yes it is a formula for an equilateral triangle.
If the length of each side of an equilateral triangle is a, then

Height (or Altitude) of the triangle = \(\frac{√3}{2} * a\)
Area of the triangle = \(\frac{√3}{4} * a^2\)
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Re: If the perimeter of an equilateral triangle is P, what is the altitude   [#permalink] 13 May 2019, 11:36
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