Answer:
B. HK = 15
Step-by-step explanation:
You can write a proportion using ratios between similar triangles to solve for HK. There are three right triangles in the drawing. There is the entire triangle and two triangles within it. Write a proportion between HIK and HJK.
The proportion will use IK and HK as well as KJ and HK. HK will be x.
[tex]\frac{16+9}{x}=\frac{x}{9}[/tex]
Cross multiply to solve.
25(9) = x*x
225 = x^2
15 = x
So HK is 15.
