The question asks to identify the hypotenuse in the given triangle. The hypotenuse is the longest side in a right triangle and is always opposite the right angle.

From the image:

1. The triangle has a right angle at point $I$.
2. The hypotenuse is the side opposite this right angle, which is segment $\overline{KX}$.

Correct Answer: $\overline{KX}$

Would you like me to explain why the hypotenuse is the longest side, or do you have further questions?

Related Questions:

1. What is the significance of the hypotenuse in trigonometric ratios?
2. Can a hypotenuse ever be shorter than another side in a triangle? Why or why not?
3. How does the Pythagorean theorem relate to the hypotenuse?
4. What real-world problems involve finding the hypotenuse?
5. How can you determine the hypotenuse if all side lengths are unknown?

Tip:

Always look opposite the right angle to find the hypotenuse in a right triangle.