To find the value of \( DP \) in the triangle described, we can use the relationship between the segments based on the triangle properties.
Given:
- \( RP = 12 \)
- \( DR = 16 \)
We need to find \( DP \).
If \( DP \) is part of \( DR \), we can express it as: \[ DR = DP + RP \]
Substituting the known values: \[ 16 = DP + 12 \]
Now, we can solve for \( DP \): \[ DP = 16 - 12 = 4 \]
However, since your options (10.6, 20, 28, 14) do not include \( 4 \), we need to check if \( DP \) refers to a different part of the triangle.
If we assume triangle properties, \( DP \) may also refer to \( DR - RP = 16 - 12 \). If anything is unclear from the triangle configuration, please provide more details or a diagram for better analysis.
As it stands, based on the calculation done, \( DP \) calculates to \( 4 \), unless further contextual information changes our approach.
If you have more specific criteria that define \( DP \) in your context, please let me know!