Points C and D are marked on segment AB So that point D lies between points C and B Find the length of segment DB

| March 5, 2021 | education

Points C and D are marked on segment AB So that point D lies between points C and B Find the length of segment DB if AB = 56 cm AC = 16 cm and CD = n cm simplify the resulting expression and find its value when N is 18 and N equals 29.

Let points C and D be marked on the segment AB so that point D lies between points C and B. Then, by the property of the mutual arrangement of points on a straight line, we obtain the equality: AB = AC + CD + DB, which means that the length of the segment DB will be: DB = AB – (AC + CD). From the condition of the problem it is known that AB = 56 cm, AC = 16 cm and CD = n cm, we substitute the values of the quantities into the resulting formula and simplify the expression:

DB = 56 – (16 + n);

DB = 40 – n.

If n = 18, then DB = 40 – 18; DB = 22 cm.

If n = 29, then DB = 40 – 29; DB = 11 cm.

Answer: the length of the segment DB = 22 cm if CD = 18 cm, and the length of the segment DB = 11 cm if CD = 29 cm.



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