Point K is taken on segment AB 36 cm long. Find the length of segment AK: BK = 45

univerkov | September 7, 2021 | education

Since point K divides segment AB into segments AK and BK so that the ratio AK: BK = 4: 5 is satisfied, we have the length of the segment AK = 4 * x, and the length of the segment BK = 5 * x. The length of the segment AB is 36 cm. Therefore: 4 * x + 5 * x = 36, 9 * x = 36, x = 36/9, x = 4. The length of the segment AK = 4 * 4 = 16 cm, and the length of the segment BK = 4 * 5 = 20 cm.

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