The given image shows a right-angled triangle △NZP, where:

• NZ = 8 (one leg)
• ZP = 15 (other leg)
• NP = x (hypotenuse, to be found)

We can use the Pythagorean theorem:

$NP^2 = NZ^2 + ZP^2$

Substituting the given values:

$x^2 = 8^2 + 15^2$

$x^2 = 64 + 225$

$x^2 = 289$

$x = \sqrt{289}$

$x = 17$

Final Answer:

$\mathbf{x = 17}$

Would you like a detailed step-by-step explanation?

Here are 5 related questions to expand your understanding:

1. How do you apply the Pythagorean theorem to different right-angled triangles?
2. What are Pythagorean triplets, and is (8, 15, 17) a Pythagorean triplet?
3. How do you calculate the area of a right-angled triangle given two sides?
4. What is the sine, cosine, and tangent of angle N in this triangle?
5. How do you find the missing leg if the hypotenuse and one leg are known?

Tip: The Pythagorean theorem only works for right-angled triangles! Always check the given angles before applying it.