Question

In the above figure, AE = 2, CE = 3, and DE = 4. What is the length of BE?

A. 12
B. 8
C. 6
D. 5

Answer 1

C. 6

Explanation:

The product of the lengths of the segments of the chord is a constant.

AE·BE = DE·CE

2·BE = 4·3 . . . . . . .fill in the given numbers

BE = 12/2 = 6 . . . . divide by the coefficient of BE