Point K is located on the segment AB, so AK = 4 * BK. Find the lengths of all segments in the drawing if AB = 25 cm 5mm.
| July 25, 2021 | education
AB = 25 cm 5mm = 255 mm.
The length of the segment AB is equal to the sum of the segments AK and BK: AB = AK + BK.
By condition AK = 4 * BK. We got a system of equations, put the second in the first and calculate BK:
AB = 4 * BK + BK;
5 * BK = 255 mm;
BK = 51 mm = 5 cm 1 mm.
Then AK = 4 * BK = 4 * 51 = 204 mm = 20 cm 4 mm.
Answer: BK = 5 cm 1 mm, AK = 20 cm 4 mm.
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