Point K is taken on segment AB 36 cm long. Find the length of segment AK: BK = 45
| September 21, 2021 | education
If you know the ratio of the segments and the total length, you can write the equations:
AK + BK = 36
AK / BK = 45
AK = 36 – BK
(36 – BK) / BK = 45
36 – BK = 45 * BK
45 * BK + BK = 36
46 BK = 36
BK = 36/46 = 18/23
AK = 36 – 18/23 = 18 * (2 – 1/23) = 18 * (46 – 1) / 23 = 18 * 45/23 = 810/23 = 35 5/23.
Answer: the length of the AK segment is 35 5/23 cm, the length of the VK segment is 18/23 cm.
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