# The length of the segment AB is 50 cm Points M and N lie on this segment.

The length of the segment AB is 50 cm Points M and N lie on this segment. Find the length of the segment MN if: a) AM = 15 cm, NB = 19 cm B) AN = 38 cm, NB = 26 cm

A) The length of the segment AB – 50cm;

AM – 15cm;

NB – 19cm;

MN -?

First, add AM and NB to find out their total length.

1) AM + NB = 15 + 19 = 34cm;

Secondly, we make a decrease and find out the length of the segment MN.

2) 50 – 34 = 16cm.

MN = 16cm.

Answer: The length of the segment MN is 16 cm.

B) AN – 38cm;

NB – 26cm;

MN -?

If the segment AM = NB = 26cm, then we make a decrease and find MN.

AN = AM + MN;

MN = AN – AM;

AM = NB;

MN = AN – NB;

MN = 38-26;

MN = 12cm.

Answer: The length of the segment is 12 cm.

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