Question

Correctly label the sides of the triangle shown below(3 points)
Drop target 1
Drop target 2
Drop target 3
Question 2
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+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

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

24+7=x
24 plus 7 is equal to x
Question 3
What is DP? Round your answer to the nearest tenth if necessary(2 points)
DP =

Answer 1

To ensure a clear understanding of the triangle and its sides, let's label them for clarity. Assuming RP, DR, and DP are the sides of the triangle:

- **RP** = 24
- **DR** = 7
- **DP** = x (the side we want to find)

### Question 2
To find the relationship between the sides of the triangle using the Pythagorean theorem (assuming it's a right triangle), the correct setup to find DP would be:

**Response Choice:**
- **\(x^2 + 7^2 = 24^2\)**
(This accounts for the right triangle relation.)

### Question 3
Now we will calculate DP (x) using the chosen setup:

1. Using the set-up from Question 2:
\[
x^2 + 7^2 = 24^2
\]
2. Calculate the squares:
\[
x^2 + 49 = 576
\]
3. Subtract 49 from both sides:
\[
x^2 = 576 - 49
\]
\[
x^2 = 527
\]
4. Take the square root of both sides:
\[
x = \sqrt{527} \approx 22.9
\]

Thus, the answer for **DP** rounded to the nearest tenth is approximately:

**DP ≈ 22.9**