The segment AB is divided by a point into two parts so that AC = 10cm, BC = 18cm.
| August 7, 2021 | education
The segment AB is divided by a point into two parts so that AC = 10cm, BC = 18cm. Find the AC to BC ratio and the AC to AB ratio.
1) What is the ratio of AC to BC?
AC: BC = 10: 18 = 5: 9.
2) What is the length of the segment AB?
Since the segment AB is divided by point C into two, then the length of the segment AB is equal to the sum of the lengths of the segments AC and BC, that is
10 + 18 = 28 (cm).
3) What is the ratio of AC to AB?
AC: AB = 10: 28 = 5:14.
Answer: the ratio of AC to BC is 5: 9, the ratio of AC to AB is 5: 14.
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