Point M lies on the segment AB and divides it into two segments AM and MB in the ratio 3: 1.
| March 23, 2021 | education
Point M lies on the segment AB and divides it into two segments AM and MB in the ratio 3: 1. Find the length of the segment AB if MB is 3 cm.
Consider the segment AB, in the statement of the problem it is said that it is divided by the point M into two segments in the ratio 3: 1.
Hence it follows that the segment AB is divided into 4 segments, the size of which is equal to the size of the segment MB.
Therefore, to find the segment AM, we need to add three segments, the size of which is equal to MB.
AM = 3 * MB. Since MB is 3 cm, then AM = 3 * 3 = 9 cm.
Answer: AM = 9 cm.
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