https://file.aiquickdraw.com/mathbot/file/1738156660924rmm1jmwr.jpg

The given image shows a right-angled triangle **PZT**, where:

- **PZ = 4** (one leg)
- **PT = 3** (another leg)
- **ZT = x** (hypotenuse)

To find **x**, we use the **Pythagorean theorem**:

\[
x^2 = 3^2 + 4^2
\]

\[
x^2 = 9 + 16
\]

\[
x^2 = 25
\]

\[
x = \sqrt{25} = 5
\]

### Answer:
\[
x = 5
\]

Would you like a step-by-step explanation or have any questions?

### Related Questions:
1. What is the Pythagorean theorem, and when is it used?
2. How do you determine if a given triangle is a right triangle?
3. Can you use the Pythagorean theorem for non-right triangles?
4. What are Pythagorean triplets, and how do they relate to this problem?
5. How can you find missing side lengths using trigonometric ratios?

**Tip:** In a right triangle, the hypotenuse is always the longest side!

Find the hypotenuse of the right-angled triangle PZT where PZ = 4 and PT = 3.

Learn how to find the hypotenuse of a right-angled triangle using the Pythagorean Theorem. Given PZ = 4 and PT = 3, we calculate the hypotenuse step by step. Suitable for students in Grades 6-9.

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