Question

Given that NL is perpendicular to HI and NM is perpendicular to JK, find the radius of circle N if JK=14. Round to the hundredths place. (image below)

Answer 1

A.
12.56
B.
12.57
C.
13.03
D.
13.04

Answer 2

the answer should be D

Answer 3

If you're given that KJ = 14, you can assume that the line KJ is bisected by line NM

Answer 4

Because you are given the length of line NM as 11, and a bisected line is split in half, you have NM as 11 and MJ as 7

Answer 5

Then you can connect a line fron N to J to create a triangle. Because N is your center, this line is a radius line as well. From here you can just use Pythagorean theorem. 7^2 + 11 ^2 = c^2
170 = c^2
13.04 = c
c = radius. Does that make sense?

Answer 6

Thank you so much! I understand now!