Point C belongs to segment AB. The length of segment AC is 15 cm, and segment AB is 5 cm longer than segment AC

| September 6, 2021 | education

Point C belongs to segment AB. The length of segment AC is 15 cm, and segment AB is 5 cm longer than segment AC. What is the length of segment BC? Is there extra data in the problem statement?

According to the condition, it is necessary to find the length of the segment BC, the equation for finding which is written as
BC = AB – AC = AB – 15 (cm).
The condition also states that
(1) AB = AC + 5.
But at the same time:
(2) AB = AC + BC.
Let’s equate the right-hand sides of the equations. It is obvious that BC = 5 cm.
It can be seen from conditions (1) and (2) that the length of the BC segment can be found without knowing the length of the AC segment.
It turns out that the condition (AC = 15 cm) is redundant or redundant data.
But since the data do not contradict each other, you can solve the problem in any convenient way.



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