Points D, C and E lie on the segment AB. Points D are midpoint of segment AC, and point E is midpoint

| April 1, 2021 | education

Points D, C and E lie on the segment AB. Points D are midpoint of segment AC, and point E is midpoint of segment CB. The distance between points D and E is 16cm. Find the length of the line segment AB.

From the condition it is known that D is the middle of the segment AC, based on these data, we can assume that the segment AD is equal to the segment DC.

It is also known that E is the middle of the segment CB, based on these data, it can be seen that the segment CE is equal to the segment EB.

Based on the data obtained, we see that the length of the segment DE is a part of the lengths of the segments DC and CE, and the length of the segment AB is a part of the lengths of the segments CE, DC, EB and AD.

Now, when the necessary data is obtained, we can notice that the length of the segment AB corresponds to two lengths of the segment DC and CE.

We can find the length AB.

AB = DE * 2 = 16 * 2 = 32 (centimeters) – length AB.

Answer: the length of the segment AB is 32 centimeters.



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