Question

What is the length of segment CE if AE = 15 inches and ED = 5 inches and EB = 3 inches?

A. 45 inches
B. 9 inches
C. 15 inches
D. 14 inches

Answer 1

I do believe the correct and is 9 inches 

Answer 2

B. 9 inches.

Explanation:

We have been an image of a circle. We are asked to find the length of segment CE.

We will use intersecting chords theorem to solve our given problem.

Intersecting chords theorem states that when two chords intersect each other inside a circle, then products of their segment are equal.

Using intersecting chords theorem, we can set an equation as:

`CE* DE=AE* BE`

Upon substituting our given values in equation, we will get:

`CE* 5=15* 3`

`CE* 5=45`

`(CE* 5)/(5)=(45)/(5)`

`CE=9`

Therefore, the measure of CE is 9 inches and option B is the correct choice.