Question

how many bisectors would you need to construct if you start with a 12-inch line segments and want to construct a 3/8 inch line segments

Answer 1

5

Explanation:

The ratio of the desired length to the starting length can give you a clue as to the number needed.

Ratio

(3/8)/12 = (3/12)/8 = (1/4)(1/8) = 1/32 = 1/(2^5)

The denominator of 2^5 means you need to cut the 12-inch length in half 5 times. (Each cut multiplies the length by 1/2, so 1/2^5 = (1/2)^5 = 5 cuts.)

You would need to construct 5 bisectors.