To find \( DP \) in the triangle problem you've described, we're likely dealing with the Pythagorean theorem since we have a right triangle.
Given that \( RP = 24 \) and \( DR = 7 \), and we need to find \( DP \), we can set up an equation using the Pythagorean theorem, which states:
\[ a^2 + b^2 = c^2 \]
In this case:
- \( a = DP \) (the side we want to find)
- \( b = DR = 7 \)
- \( c = RP = 24 \)
Using the Pythagorean theorem, we get:
\[ DP^2 + 7^2 = 24^2 \]
Translating that into the format of your options, it corresponds to:
\[ x^2 + 7^2 = 24^2 \]
where \( x \) represents \( DP \).
So, the correct response would be:
x² + 7² = 24²