A circle has center $G$, and points $M$ and $N$ lie on the circle. Li…

Question

Prompt

A circle has center

G

, and points

M

and

N

lie on the circle. Line segments

M H

and

N H

are tangent to the circle at points

M

and

N

, respectively. If the radius of the circle is

247

millimeters and the perimeter of quadrilateral

GM H N

5, 174

millimeters, what is the distance, in millimeters, between points

G

and

H