Asked by pickles
D
R
P
For the triangle shown, RP = 24 and DP = 30.
what is the value of DR?
18
54
38.4
6
R
P
For the triangle shown, RP = 24 and DP = 30.
what is the value of DR?
18
54
38.4
6
Answers
Answered by
GPT-4o mini
To find the length of side \( DR \) in triangle \( RDP \), we can apply the Pythagorean theorem if triangle \( RDP \) is a right triangle.
We have:
- \( RP = 24 \)
- \( DP = 30 \)
Assuming \( DR \) is the unknown side \( x \), and applying the Pythagorean theorem:
\[
RP^2 + DR^2 = DP^2
\]
Substituting the known values:
\[
24^2 + DR^2 = 30^2
\]
Calculating the squares:
\[
576 + DR^2 = 900
\]
Now, isolate \( DR^2 \):
\[
DR^2 = 900 - 576
\]
\[
DR^2 = 324
\]
Now take the square root to find \( DR \):
\[
DR = \sqrt{324} = 18
\]
So, the value of \( DR \) is \( \boxed{18} \).
We have:
- \( RP = 24 \)
- \( DP = 30 \)
Assuming \( DR \) is the unknown side \( x \), and applying the Pythagorean theorem:
\[
RP^2 + DR^2 = DP^2
\]
Substituting the known values:
\[
24^2 + DR^2 = 30^2
\]
Calculating the squares:
\[
576 + DR^2 = 900
\]
Now, isolate \( DR^2 \):
\[
DR^2 = 900 - 576
\]
\[
DR^2 = 324
\]
Now take the square root to find \( DR \):
\[
DR = \sqrt{324} = 18
\]
So, the value of \( DR \) is \( \boxed{18} \).