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

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Math Expert
Joined: 02 Sep 2009
Posts: 53657
If the perimeter of an equilateral triangle is P, what is the altitude  [#permalink]

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08 Mar 2019, 02:21
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Difficulty:

35% (medium)

Question Stats:

73% (01:33) correct 27% (01:48) wrong based on 22 sessions

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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. $$\frac{p\sqrt{3}}{6}$$

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

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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.

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

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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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Re: If the perimeter of an equilateral triangle is P, what is the altitude   [#permalink] 08 Mar 2019, 04:08
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# If the perimeter of an equilateral triangle is P, what is the altitude

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