The problem provided is a right triangle with legs measuring 9 and 12, and you are asked to find the hypotenuse $x$.

To solve this, we can use the Pythagorean Theorem, which states that:

$a^2 + b^2 = c^2$

where $a$ and $b$ are the legs of the triangle, and $c$ is the hypotenuse.

Given:

• $a = 9$
• $b = 12$

Let's substitute these values into the formula:

$9^2 + 12^2 = x^2$

$81 + 144 = x^2$

$225 = x^2$

Now, take the square root of both sides:

$x = \sqrt{225} = 15$

So, the length of the hypotenuse $x$ is 15.

Would you like a more detailed explanation or have any other questions?

Here are 5 related questions you might find interesting:

1. How does the Pythagorean Theorem apply to non-right triangles?
2. What are the other properties of a right triangle?
3. How can you use trigonometry to solve for unknown sides in a triangle?
4. What is the relationship between the sides and angles in any triangle?
5. How do you find the area of a right triangle using its sides?

Tip: Always check if a triangle is a right triangle before applying the Pythagorean Theorem!