Question

What is the radius of the inscribed circle of AHJK?

a. 3x + 4
b. 6x – 14
c. M
d. N

Answer 1

The radius of the inscribed circle of AHJK is 3x.

Step-by-step explanation:

The radius of the inscribed circle of AHJK can be found by using the information given. We know that AB = 3x and AC = 3R. Since AB is a tangent to the inscribed circle, it is perpendicular to the radius of the circle at the point of tangency. Therefore, AB is a radius of the inscribed circle. Therefore, the radius of the inscribed circle is 3x.