Points M and N are marked on segment AB so that N lies between points M and B.

Points M and N are marked on segment AB so that N lies between points M and B. Find the length of the line AB, if the length of the segment is AN = 42cm, the length of the segment MB = 24cm and MN = 8cm.

The solution of the problem:

Method 1:

1. Let us determine the length of the segment NB.

NB = MB – MN;

NB = 24 – 8 = 16 cm.

2. Determine the length of the segment AB.

AB = AN + NB;

AB = 42 + 16 = 58 cm.

Method 2:

1. Determine the length of the segment AM.

AM = AN – MN;

AM = 42 – 8 = 34 cm.

2. Determine the length of the segment AB.

AB = AM + MB;

AB = 34 + 24 = 58 cm.

Answer: the length of the segment AB is 58 cm.



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