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6 October, 13:10

What is the length of the apothem of a regular hexagon with 10-cm sides? If necessary, round to the * nearest tenth*

A) about 5.0 cm

B) about 2.9 cm

C) about 8.7 cm

D) about 9.7 cm

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Answers (2)
  1. 6 October, 13:11
    0
    Apothem=8.7cm - - - answer C)

    Step-by-step explanation:

    The regular hexagon has 6 equal sides. The hexagon consists of 6 equal equilateral triangles, of side l=10cm.

    Thus, the apothem of a regular hexagon is the height in that equilateral triangle, that can be computed with:

    h=l/2*sqrt (3) = 10/2*1.73=5*sqrt (3) = 8.66cm.

    Rounding to the tenth: 8.7cm
  2. 6 October, 13:21
    0
    C

    Step-by-step explanation:

    10 : [2 tan (180/6) ]

    5sqrt (3)

    8.66

    About 8.7cm
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