Final Answer:
The length of IH is equal to the radius of the circle.
Step-by-step explanation:
In a circle, when a line is tangent to the circle, it forms a right angle with the radius drawn to the point of tangency. This property can be utilized to determine the length of IH. Since GH is tangent to the circle at G, angle GHI is a right angle, and IH is the radius of the circle. Thus, the length of IH is equal to the radius of the circle.
This can be further explained by considering the definition of a tangent line. A tangent to a circle at a certain point is perpendicular to the radius drawn to that point. Therefore, angle GHI is a right angle. The length of IH represents the distance from the point of tangency (G) to the center of the circle (I), which is the radius.
In conclusion, IH is the radius of the circle, and this property holds true for any circle where a tangent line is drawn from an external point to the circle, forming a right angle with the radius at the point of tangency.