Two points C and D are marked on segment AB so that point C lies between points B
| March 19, 2021 | education
Two points C and D are marked on segment AB so that point C lies between points B and D. Find the length of segment AB if DC = 2cm, DB = 6cm, AC = 5cm.
Determine the position of points C and D inside the segment AB.
A ______ D____C_____B
DC = 2cm, DB = 6cm, AC = 5cm.
Let’s compose the equalities of the loy of different segments:
DB = DC + BC; 6cm = 2cm + BC; BC = 6 – 2 = 4 (cm).
AD = AC – DC = 5 – 2 = 3 (cm).
When all intermediate segments are defined, it is easy to determine the entire segment AB.
AB = AD + DC + DC = 3 + 2 + 4 = 9 (cm).
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