Using the proportionality theorem, the length of the missing segment is 25 units.
What is the Proportionality Theorem?
According to the proportionality theorem, the middle segment in the diagram given divides the two sides it intersects proportionally.
Therefore, we would have:
x = missing segment
36/21 = (35 + x)/35
Cross multiply
35(36) = 21(35 + x)
1,260 = 735 + 21x
1,260 - 735 = 21x
525 = 21x
525/21 = x
x = 25
The missing segment is: 25 units.
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