Question

For the triangle shown above, RP¯¯¯¯¯¯¯¯ =24, and DR¯¯¯¯¯¯¯¯=7
, which of the following the correct way to set up the problem to find DP?(2 points)
Responses

x2+72=242
x squared plus 7 squared is equal to 24 squared

x2+242=72
x squared plus 24 squared is equal to 7 squared

242+72=x2
24 squared plus 7 squared is equal to x squared

24+7=x

Answer 1

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**