This is a right-angled triangle, and we can use Pythagoras' theorem to find the length of $PR$.

Pythagoras' theorem states: $PR^2 + RQ^2 = PQ^2$

We know:

• $PQ = 30 \, \text{cm}$
• $RQ = 24 \, \text{cm}$

Now, substitute the values into the equation:

$PR^2 + 24^2 = 30^2$ $PR^2 + 576 = 900$ $PR^2 = 900 - 576 = 324$ $PR = \sqrt{324} = 18 \, \text{cm}$

Therefore, the length of $PR$ is 18 cm.

Would you like any further details or have any questions? Here are some related questions you might find useful:

1. What is the general formula for Pythagoras' theorem?
2. How can Pythagoras' theorem be applied in 3D space?
3. Can Pythagoras' theorem be used for non-right-angled triangles?
4. How do you calculate the length of a diagonal in a rectangle using Pythagoras' theorem?
5. What are some real-world applications of Pythagoras' theorem?

Tip: When applying Pythagoras' theorem, make sure the triangle is a right triangle before using the formula.