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Problem Solving (PS) | If the perimeter of an equilateral triangle is P, what is the altitude

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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 isP,
    •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 optionE.

Answer: E

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