Using the proportionality theorem, the length of the missing segment is 25 units.
<h3>What is the Proportionality Theorem?</h3>
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.
Learn more about the proportionality theorem on:
brainly.com/question/8160153
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