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    Equilateral triangles can be inscribed within an outer equilateral triangle by constructing midpoints on each side and connecting them.
    ::等边三角形可以通过在每边建造中点并将其连接起来,在外边等边三角内刻上。

    lesson content

    1. Sketch an equilateral triangle as the 1st of four figures. Label as figure 1.
    ::1. 将一个等边三角形作为四位数中的第一位。

    2. Sketch a 2nd equilateral triangle with an inscribed equilateral triangle constructed using the midpoints. Label as figure 2.
    ::2. 绘制第二个等边三角形,用中点构造一个刻录的等边三角形。

    3. I f the perimeter of the 1st triangle is 4, w hat is the perimeter of the 6th inscribed triangle?
    ::3. 如果第一个三角形的周边是4,那么第6个三角形的周边是多少?

    4. I f the perimeter of the 1st triangle is 2, w hat is the perimeter of the 10th inscribed triangle?
    ::4. 如果第一个三角的周边是2,那么第10个三角的周边是多少?

    5. What would be the sum of all the perimeters if the triangles in Step 3 were inscribed to infinity?
    ::5. 如果第3步中的三角形被划为无限,那么所有周界的总和是什么?

    6. I f the triangles in Step 4 were inscribed to infinity, w hat would be the sum of all of the perimeters?
    ::6. 如果第4步中的三角被划入无限,那么所有周界的总和是多少?

    7. If the triangles in Step 3 were inscribed to infinity, what would be the sum of all of the areas ?
    ::7. 如果第3步中的三角被划入无限,那么所有区域的总和是多少?

    8. I f the triangles in Step 4 were inscribed to infinity, w hat would be the sum of all of the areas?  
    ::8. 如果第4步中的三角被划为无限,那么所有区域的总和是多少?