On the segment DK = 20 cm, point A was marked, such that DA = 17 cm, and point B

On the segment DK = 20 cm, point A was marked, such that DA = 17 cm, and point B, such that ВK = 16 s. Find the length of the line segment AB.

Given:
DC = 20 cm;
DA = 17 cm;
ВK = 16 cm;
To find:
AB =?
Decision:
If DA = 17 cm and ВK = 16 cm, then the segment DK = DV + ВA + AK;
In this case, ВA + AK = ВK, then DK = DВ + ВK.
DВ = DC – ВK = 20 cm – 16 cm = 4 cm.
Segment DA = DВ + ВA.
Then the segment BA = AB = DA – DВ = 17 cm – 4 cm = 13 cm.
Answer: AB = 13 cm.



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