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Geometry

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A regular hexagon is made from equilateral triangle by cutting along the dotted lines and removing the three smaller triangles. if triangle has a perimeter of 18, what is the perimeter of hexagon?

  • Geometry - ,

    Where are the dotted lines?

  • Geometry - ,

    If an equilateral triangle has a perimeter of 18,the length of each side of the triangle is six(18/3=6). Therefore, the perimeter of the hexagon is thirty-six(6x6=36).

    If a straight line is drawn from the center to each vertex, six congruent equilateral triangles are formed. The perimeter of the hexagon is equal to the sum of the six sides(36).

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