The length of the segment AB = 15 cm Find the length of the segment CD if AD = 12 CM and CB = 10 cm.
April 11, 2021 | education
| It is known that the length of the segment AB = 15 cm.
1) If the length of the segment AD = 12 cm, then point D lies on the segment AB from point A at a distance of 12 cm.
2) Find the length of the segment DВ if AB = 15 cm and AD = 12 cm.
DB = AB – AD = 15 cm – 12 cm = 3 cm.
2) If the length of the segment CB = 10 cm, then longing C lies on the segment AB from point B at a distance of 10 cm.
3) Find the length of the segment AC if AB = 15 cm and CB = 10 cm.
AC = AB – BC = 15 cm – 10 cm = 5 cm.
4) Find the length of the segment CD. To do this, you need to subtract the segments AC and BD from the length of the segment AB.
We get:
CD = AB – AC – DB = 15 cm – 8 cm – 3 cm = 7 cm – 3 cm = 4 cm.
Answer: СD = 4 cm.
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