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How do you find the apothem of a regular pentagon? Hexagon?

  • Geometry -

    If I recall, apothem is the distance from the centre to the midpoint of a side
    so look at one of the equal 5 isosceles triangles.
    the central angles are 360/5 or 72° each, making the base angles 54°.

    let the base be length x
    tan 54° = apoth/(x/2)
    apothem = (1/2) base x tan 54°

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