https://file.aiquickdraw.com/mathbot/file/17369259669740m3xfpqz.jpg

To solve this problem using Pythagoras' theorem, we will calculate the hypotenuse of the right-angled triangle.

### Pythagoras' Theorem:
\[
c^2 = a^2 + b^2
\]
Where:
- \( c \) is the hypotenuse (the side opposite the right angle),
- \( a \) and \( b \) are the other two sides.

Here:
- \( a = 4.8 \, \text{cm} \),
- \( b = 2 \, \text{cm} \).

### Steps:
1. Substitute the values of \( a \) and \( b \):
\[
c^2 = 4.8^2 + 2^2
\]

2. Calculate the squares of \( a \) and \( b \):
\[
4.8^2 = 23.04, \quad 2^2 = 4
\]

3. Add these values:
\[
c^2 = 23.04 + 4 = 27.04
\]

4. Take the square root to find \( c \):
\[
c = \sqrt{27.04} \approx 5.2 \, \text{cm}
\]

### Final Answer:
The length of the hypotenuse is **5.2 cm** (to 1 decimal place).

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Would you like further details or clarifications? 

### Related Questions:
1. What are the units of the hypotenuse, and why is it important to include them?
2. Can Pythagoras' theorem be applied to non-right triangles?
3. What is the significance of rounding to 1 decimal place in this context?
4. How does the accuracy of the drawing affect the calculation?
5. Can we solve this problem graphically instead of mathematically?

### Tip:
Always ensure your calculator is in the correct mode (degrees or radians) if you’re working on a problem involving trigonometry.

Using Pythagoras' theorem, calculate the length of the hypotenuse in this right-angled triangle. Give your answer to 1 d.p.

Learn how to calculate the hypotenuse of a right-angled triangle using Pythagoras' theorem. This step-by-step solution shows how to find the hypotenuse for sides measuring 4.8 cm and 2 cm, rounded to 1 decimal place.

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