Question

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

Answer 1

Answer: The value of x = 10

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* NK=LN* NM\\\\\Righatrrow\ 5*4=2* x\\\\\Rightarrow\ x=(5*4)/(2)=10\\\\\Rightarrow\ x=10`

Hence, the value of x = 10

Answer 2

Check the picture below.