On the segment AB 81 cm long, points C and D were added so that the segment AC was 3/9

| May 7, 2021 | education

On the segment AB 81 cm long, points C and D were added so that the segment AC was 3/9 (Three ninths) of the segment AB and the segment AD was 7/9 (seven ninths) of the segment AB. Find the length of the segment CD.

1. Let’s find the length of our segment AC. If the straight line AB, which is 81 cm long, belongs to the points C and D. Moreover, the segment AC is 3/9 of the segment AB:

3/9 * 81 = 27 cm, AC segment;

2. Find the length of the resulting segment AD. If the straight line AB, which is 81 cm long, belongs to the points C and D. Moreover, the segment AD is 7/9 of the segment AB:

7/9 * 81 = 63 cm, segment AD;

3. Let us find the length of the obtained segment CD, if points A, B, C, D belong to a straight line and are located sequentially on it:

CD = AD – AC = 63 – 27 = 36 cm;

Answer: the length of the CD segment, see.



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