On the segment AB, points M and N are marked so that N lies between points M and B. Find the length of segment AB

| July 15, 2021 | education

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

It is known that there are two points M and N on the segment AB, and the point N is located between the points M and B.

The lengths of the segments are AN = 42cm, MB = 24cm and MN = 8cm.

You need to know the length of the segment AB.

According to the conditions, we can make the following equalities.

AB = AM + MN + NB.

AN = AM + MN.

MB = MN + NB, whence it follows that NB = MB – MN.

Let’s make substitutions and get the following:

AB = AN + NB.

AB = AN + MB – MN.

Substitute the values and calculate.

AB = 42 cm + 24 cm – 8 cm.

AB = 58 cm.

Answer: AB = 58 cm.



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