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13 March, 11:45

An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.

A.

26 cm

B.

52 cm

C.

75 cm

D.

100 cm

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Answers (2)
  1. 13 March, 12:05
    0
    The apothem is the distance from which the altitudes of the triangle to one of its sides. It can be calculated through the equation below,

    tan 30° = apothem / 0.5 (length of side)

    Substituting the known values,

    tan 30° = 5 / 0.5x

    The value of x from the equation above is 17.32. Multiplying this value by 3 (because a triangle has 3 sides), we get an answer of 51.96 cm or approximately equal to 52. Thus, the answer is letter B.
  2. 13 March, 12:14
    0
    The correct answer is B. 52 cm
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