# Points C and D are marked on segment AB so that point D lies between segments C and B. Find the length

Points C and D are marked on segment AB so that point D lies between segments C and B. Find the length of segment DB if AB = 56cm, AC = 16cm and CD = n cm.Simplify the expression obtained and find its value if: 1 ) n = 182) n = 29

1) Let’s depict the location of the points:

A —- C — D —- B, and we express the required segment DB by the formula: DB = AB – AC – CD. The diagram shows that point D lies between points C and B, according to the condition.

2) We calculate the segment DВ, substituting all the values: DВ = 56 cm – 16 cm – n = (40 – n) cm.

3) We calculate the segment DВ at n = 18 cm: DВ = (40 – 18) cm = 22 cm.

4) We calculate the segment DВ at n = 29 cm: DВ = (40 – 29) cm = 11 cm.

Answer: DB = 22 cm; DB = 11 cm.

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