Point a is located on a straight line between points B and C, the length of the segment CB is 3 cm

| May 27, 2021 | education

Point a is located on a straight line between points B and C, the length of the segment CB is 3 cm longer than the length of the segment AC. Find the length of the line segment AB.

By hypothesis, a segment BC is given. Point A divides segment BC into two segments AB and AC, then segment BC is the sum of these two segments:

BC = AB + AC.

It is known from the condition that the length of the segment BC is 3 cm longer than the length of the segment AC, then the difference between the segment BC and the segment AC will be 3 cm:

BC – AC = 3.

Substitute the expression for the length of the segment BC into this expression:

AB + AC – AC = 3.

Here are similar terms:

AB = 3 cm.

Thus, the difference between segment BC and segment AC is the length of segment AB.

Answer: AB = 3 cm.



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