Point C is the interior point of line segment AB = 14 cm. Find the length of line segments AC and CB if AC: CB = 2: 5.

We denote by an unknown variable x centimeters – the length of the AC segment,

Then AC: CB = 2: 5, CB = 5/2 * AC = 2.5x centimeters – the length of the CB segment.

According to the condition of the problem, the length of the segment AB is 14 centimeters. Let’s make the equation:

x + 2.5x = 14;

3.5x = 14;

x = 4 centimeters – the length of the AC segment,

2.5 * 4 = 10 centimeters – the length of the CB segment.

Answer: AC 4 centimeters, CB 10 centimeters.