The image shows a right triangle where the two legs are given as 2 and 18, and the hypotenuse is represented by $x$. You need to use the Pythagorean theorem to find $x$.

The Pythagorean theorem states that for a right triangle: $a^2 + b^2 = c^2$ where $a$ and $b$ are the legs, and $c$ is the hypotenuse.

In this case:

• $a = 2$
• $b = 18$
• $c = x$

Now, substitute these values into the Pythagorean theorem: $2^2 + 18^2 = x^2$ $4 + 324 = x^2$ $328 = x^2$ Now, take the square root of both sides: $x = \sqrt{328}$ $x \approx 18.1$

So, the value of $x$ is approximately 18.1, rounded to the nearest tenth.

Let me know if you have any questions or need further details!

Here are some related questions:

1. How would you solve for the missing side if the hypotenuse was given?
2. What happens to the value of $x$ if the leg lengths change?
3. Can you solve for $x$ if one leg is unknown and the hypotenuse is given?
4. How can you apply the Pythagorean theorem to real-world problems?
5. What is the relationship between the sides of a 30-60-90 triangle?

Tip: When solving for the hypotenuse, always check if the triangle is a right triangle to apply the Pythagorean theorem!