Question

For circle H, JN = 5, NK = 4, LN = 2 and NM = x. Solve for x

Answer 1

Check the picture below.

Answer 2

Answer: The value of x = 10

Step-by-step explanation:

Given : For circle H, JN = 5, NK = 4, LN = 2 and NM = x.

We know that when two chords intersects each other then the product of their segments is equal.

For the given figure , we have

$JN\times NK=LN\times NM\\\\\Righatrrow\ 5\times4=2\times x\\\\\Rightarrow\ x=\dfrac{5\times4}{2}=10\\\\\Rightarrow\ x=10$

Hence, the value of x = 10