The length of the segment AB is 20 cm. Point c lies on the segment AB. The length of the segment AC is 6 cm less than

| June 16, 2021 | education

The length of the segment AB is 20 cm. Point c lies on the segment AB. The length of the segment AC is 6 cm less than the length of the segment AB. Find the lengths of the line segments AC and BC.

1. According to the problem statement, point C lies on the segment AB and divides it into two parts – AC and BC.

It is known:

a) the length of the segment AB is 20 centimeters;

b) the length of the AC segment is 6 centimeters less.

So, by comparing the two values, we can find the length of the AC segment.

AB – AC = 6 cm;

AC = AB – 6 cm = 20 cm – 6 cm = 14 centimeters.

2. We know that AC + BC = AB.

Let us find the length of the BC segment according to the rule – to find one of the terms, we must subtract the other term from the sum.

BC = AB – AC = 20 cm – 14 cm = 6 cm.

Answer: The length of the segment AC is 14 centimeters, the length of the segment BC is 6 centimeters.



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