Question

In the circle above, LM = 2 and KL = 6.

What is the measure of MN?
A) 16
B) 10
C) 4
D) 8

Answer 1

C. 4

Explanation:

We can use power of a point to solve this problem. From this, we can set up the equation:

MN^2 = LM x MK

MK would be the sum of LM and KL because of segment addition postulate. Therefore, we can say MK = 2 + 6 = 8

Now, we can substitute the values we have in the equation above:

MN^2 = 2 x 8

MN^2 = 16

MN = 4