On the segment AB 23 cm long, points C and D were marked so that AC = 15 cm, DB = 12 cm.
April 12, 2021 | education
| On the segment AB 23 cm long, points C and D were marked so that AC = 15 cm, DB = 12 cm. What is the length of the segment CD?
Let us define the sequence in which the points are located on the segment AB.
Since CB = AB – AC = 23 – 15 = 8 cm. CB <DB (8 <12).
We get that the points are located as follows: A – D – C – B.
Then, the length of the segment CD is equal to: CD = AC – DB.
CD = AC – CB = 15 – 12 = 3 cm.
Answer: the length of the CD segment is 3 cm.
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