Point K belongs to the segment CD, the length of which is 28 cm, find the lengths of the segments CK and KD if CK: KD = 3: 4.

univerkov | December 5, 2020 | education

since СК: КD = 3: 4, СК = 3x, КD = 4x
since K lies on the СD, then СK + CD = СD
Hence, 3x + 4x = 28
7x = 28
x = 4
Then СK = 3 * 4 = 12 cm, СD = 4 * 4 = 16 cm
Answer: 12 and 16 cm

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