Point C lies between points A and B. Segment AC = 4cm, BC = 5cm. Point K is the middle of the segment AC.
| March 15, 2021 | education
Point C lies between points A and B. Segment AC = 4cm, BC = 5cm. Point K is the middle of the segment AC. Find the distance between points A and B, as well as between points K and B.
First, we find the distance between points A and B.
AB = AC + CB,
AB = 4 + 5,
AB = 9.
Point K is the middle of the AC segment and if AC = 4cm then AK = KC = AC / 2 = 4/2 = 2.
It remains for us to find the distance between points K and B.
KB = KC + CB,
KB = 2 + 5,
KB = 7.
Answer: AB = 9, KB = 7.
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