A 6 cm segment AB is divided by the point N in a ratio of 1: 2, counting from point A. Find the length of the segment NB

univerkov | May 23, 2021 | education

Let us construct the segment AB given in the problem, where x is the coefficient of proportionality. As you can see in the picture, it consists of 2x + x = 3x, that is, three identical parts.

AN = x, NB = 2x.

3x = 6.

x = 6/3.

x = 2 (cm).

NB = 2 * 2 = 4 (cm).

Answer: The length of the segment NB is 4 cm.

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