The length of DE is given as: 3 Units. (Option B)
A line that joins two points on a curve is called a Secant Line.
What is the Secant Theorem?
Two secant theorem states that if two secant lines are drawn from a point outside a circle a relationship is formed between the line segments.
How do we arrive at the length of DE?
Based on the Secant Theorem, from the figure, we know that:
AX * BX = EX * DX
Assuming that the length of DE equals X,:
AX * BX = EX * DX
Equals
(7+2) X (2) = (x + 3) (3)
To solve for x we expand the brackets to state:
9 * 2= 3x + 9
3x = 18-9
3x= 9
x = 9/3
X which is same as DE = 3 Units.
See the attached text and image for the full questions and Learn more about Secant at:
https://brainly.com/question/9284286
