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Applying the triangle proportionality theorem, the length of line EC is: 7.2 units.

How to Apply the Triangle Proportionality Theorem?

Since lines AC and DE are parallel to each other in the triangle, and DE intersects sides AB and AC, then we would have the following proportion based on the triangle proportionality theorem:

BD/DA = CE/EA

BD = 18 units

DA = 15 units

CE = ?

EA = 6 units

Plug in the values

18/15 = CE/6

(18)(6) = (CE)(15)

108 = CE(15)

Divide both sides by 15

108/15 = CE(15)/15

7.2 = CE

EC = 7.2 units

Therefore, applying the triangle proportionality theorem, the length of line EC is: 7.2 units.

Learn more about the triangle proportionality theorem on:

https://brainly.com/question/25855270

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