Given a segment of the AC, the length of which is 12 cm, find the length of the segment MN

Given a segment of the AC, the length of which is 12 cm, find the length of the segment MN if the length of the AC is 3/4 of its length.

In order to find the part, in this case 3/4 of a number, you need to divide this number by 4, and then multiply by 3.

Let’s compose an equation based on the conditions of the problem:

AC = (3 * MN): 4, hence MN = (AC * 4): 3.

We substitute the data:

MN = (12 * 4): 3 = 48: 3 = 16 cm.

Checking the found result:

AC = (16 * 3): 4 = 48: 4 = 12 cm.

Answer: the length of the segment MN is 12 cm.