Given:
A figure of a circle. .
To find:
The length of KJ.
Solution:
From the given figure it is clear that the number 6 is marked between K and J it means the number 6 represents the distance between the points K and j.
Therefore, the length of KJ is 6 units.
Note: In the given question we need to find KL instead of KJ because KJ is already given.
According to the tangent secant theorem:
Where,
- a is the length of the tangent.
- b is the length of the external segment of the secant.
- c is the measure of the secant.
Using the tangent secant theorem, we get
On further simplification, we get
Splitting the middle term, we get
For ,
, which is not possible because side cannot be negative.
For ,
Therefore, the measure of KL is 2 units.
