Multiple choice general knowledge math & puzzles

If the midpoints of all the sides of the equilateral triangle are connected, and this process is repeated 3 more times with the resulting triangle from the previous step, then the area of the final triangle is 1/256 the original area.

  1. True

  2. False
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A Correct answer
Explanation

Connecting the midpoints of an equilateral triangle creates a central triangle with 1/4 the area of the original. Repeating this process 3 more times (4 times total) results in an area of (1/4)^4 = 1/256 of the original area. Thus, the statement is true.

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