Answer:
CD ≈ 23 units
Step-by-step explanation:
Using the Geometric Mean Theorem
Which states that the ratio of one sement to the altitude is equal to the ratio of the altitude to the other segment.
The segments are CD and AC, the altitude is BC , then
[tex]\frac{CD}{BC}[/tex] = [tex]\frac{BC}{AC}[/tex] ( substitute values )
[tex]\frac{CD}{32}[/tex] = [tex]\frac{32}{44}[/tex] ( cross multiply )
44 CD = 32 × 32 = 1024 ( divide both sides by 44 )
CD ≈ 23 units ( to the nearest whole ubit )
