The 6.4 cm segment is divided by two points into three segments in a ratio of 5: 6: 5.
| August 14, 2021 | education
The 6.4 cm segment is divided by two points into three segments in a ratio of 5: 6: 5. Find the length of the shortest line you get.
1) Let’s find out how many parts a segment has if it is known that the ratio of segments is 5: 6: 5.
5 + 6 + 5 = 16 pieces.
2) Let’s find out how long one part has, if it is known that the length of the segment is 6.4 cm and it consists of 16 parts.
6.4 / 16 = 0.4 cm.
3) We find out how long the smallest segment has, if it is known that it consists of 5 parts, and the length of one part is 0.4 cm.
5 * 0.4 = 2 cm.
Answer: the length of the smallest segment is 2 cm.
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