On the segment AB, which is 8 cm long, point C is marked in an arbitrary way. Find the distance between

| February 27, 2021 | education

On the segment AB, which is 8 cm long, point C is marked in an arbitrary way. Find the distance between the midpoints of AC and CB.

Since the point C on the segment AB is placed in an arbitrary way, we denote one of the obtained segments – x. Let CB = x cm, then AC = (8 – x) cm. By the problem statement, we need to find the distance between the midpoints of AC and CB. Since AC + BC = 8 cm, we can write the equation:

(8 – x) + x = 8

To find the distance we need, divide the segments by 2, thereby finding the desired length.

(8 – x) / 2 + x / 2 = 4.

Explanation: there is no need to open parentheses, since there is no need to search for the length of the segments themselves. It is enough to find the distance between their midpoints by dividing the initial AC and CB in half.

Answer: 4 cm.



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