Answer:
[tex]HI = 32[/tex]
Step-by-step explanation:
Given
I will answer this question with the attached image (not drawn to scale) , from which we have:
[tex]AD = 16[/tex]
[tex]CD = 4[/tex]
[tex]IJ = 8[/tex]
Required
Find HI
To solve for HI, we make use of the following equivalent ratios.
[tex]AD:CD = HI:IJ[/tex]
So, we have:
[tex]16:4 = HI:8[/tex]
Express as a fraction
[tex]\frac{16}{4} = \frac{HI}{8}[/tex]
Make HI, the subject
[tex]HI = \frac{16}{4} * 8[/tex]
[tex]HI = 32[/tex]
