Answer:
Explanation:
For this exercise you need to remember the Intersecting Chord Theorem.
The Intersecting Chord Theorem states that if two chords are intersecting inside a circle, the products of their segments are equal.
Therefore, based on this and observing the given figure, you know that:
You can identify that:
Now you have to susbstitute those lengths into the equation:
Finally, you must solve for EC in order to find its length. You get that this is:
