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Given: 35 cm = the measure of the segment 3 : 4 = the ratio of the two shorter segments divided from 35 cm

Asked: How long is each segment?

Mathematical sentence:

x = length of the shorter segment x = length of the longer segment

Solution: Length of the shorter segment = x x

15 cm Length of the shorter segment = 15 cm

Length of the longer segment: x x

20 cm Length of the longer segment = 20 cm

Check: 15 : 20 or = 3 : 4 or Cross multiply: 15 x 4 = 20 x 3 60 = 60, CORRECT Therefore: Length of the shorter segment = 15 cm Length of the longer segment = 20 cm