Point N is marked on segment CD. Find the length of segment CD if segment CN is 45 centimeters and segment ND

| July 6, 2021 | education

Point N is marked on segment CD. Find the length of segment CD if segment CN is 45 centimeters and segment ND is shorter than segment CN by n centimeters. Simplify the expression and find its value when n is 54 and n is 36.

Let the length of the segment CN = 45 cm, where N is a point on the segment CD. Moreover, ND = CN – n.

It is necessary to compose an expression for finding CD and find its value for n = 54 and n = 36.

First, let’s compose an expression that determines the length of the segment CD.

CD = CN + ND.

Substitute the CN and ND values specified by the task condition.

CD = 45 + 45 – n.

CD = 90 – n.

Now let’s calculate the CD value for n = 54.

CD = 90 – 54.

CD = 36 cm.

It remains to find out the length of the CD for n = 36.

CD = 90 – 36.

CD = 54 cm.

Answer: CD = 90 – n, CD = 36 cm at n = 54, CD = 54 cm at n = 36.



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