A 14 cm segment AB is divided by points C and D into parts AC, CD and DB, the lengths of which are 2: 1: 4.

A 14 cm segment AB is divided by points C and D into parts AC, CD and DB, the lengths of which are 2: 1: 4. Find the lengths of these parts of the line segment AB.

one). Let us determine what the sum of the numbers is in relation to the numbers of the size of the segments.
2+ 1 + 4 = 7.
2). Let’s calculate how many centimeters are in one part.
14/7 = 2 centimeters.
3). What is the length of the AC segment?
2 * 2 = 4 centimeters.
4). What is the length of the CD segment?
2 * 1 = 2 centimeters.
5). What is the length of the segment DВ?
2 * 4 = 8 centimeters.
Answer: The length of the segment AC is 4 centimeters, the length of the segment CD is 2 centimeters, the length of the segment DB is 8 centimeters.



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