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In this problem, you're asked to find the length of \(x\) in a right triangle using the Pythagorean Theorem. 

The triangle has the following values:
- One leg is 10 units
- The other leg is 11 units
- \(x\) represents the hypotenuse

The Pythagorean theorem states:
\[
x^2 = 10^2 + 11^2
\]
Let's calculate it step by step.

\[
x^2 = 100 + 121 = 221
\]
\[
x = \sqrt{221} \approx 14.87
\]

So, the length of \(x\), rounded to the nearest hundredth, is approximately **14.87** units.

Would you like more details or have any further questions? 

Here are five related questions:
1. What is the Pythagorean theorem used for?
2. How can you verify the answer using a calculator?
3. Can the Pythagorean theorem be used in non-right triangles?
4. What is the general formula for the length of the hypotenuse?
5. How does the accuracy of rounding affect the result?

**Tip:** When using the Pythagorean theorem, ensure all values are squared correctly before summing them up!

For the right triangle below, find the length of x. One leg is 10 units, the other leg is 11 units, and x represents the hypotenuse. Round to the nearest hundredth.

Learn how to calculate the length of the hypotenuse in a right triangle where the legs are 10 and 11 units. Using the Pythagorean theorem, the result is approximately 14.87 units. Suitable for students in Grades 8-10.

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