The segment MN is divided by point P into two parts so that MP = 12cm, NP = 20cm.

The segment MN is divided by point P into two parts so that MP = 12cm, NP = 20cm. Find the segment MN. Find the ratio of the fraction NP / MN.

We need to find the length of the segment MN. But from the condition of the problem, we know that this segment was divided into two parts by the point P and we know that the result is segments of the following length:

MP = 12 centimeters
NP = 20 centimeters

In order to determine the length of the segment MN, we need to add the lengths of the segments MP and NP. That is, we get that the length of the segment MN is equal to:

MN = MP + NP = 12 + 20 = 32 centimeters

Now let’s find the NP / MN ratio:

NP / MN = 20/32 = 5/8

That is, we get that NP refers to MN as 5 refers to 8