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In the given triangle \( \triangle VYD \), \( \angle V \) is marked as the right angle (90 degrees). The hypotenuse is always the side opposite the right angle in a right triangle, and it is also the longest side.

Looking at the triangle, the side opposite \( \angle V \) is \( \overline{DY} \). Therefore, the hypotenuse of this triangle is **\( \overline{DY} \)**.

Would you like more details or have any questions?

Here are some related questions to further your understanding:
1. How do you calculate the length of the hypotenuse using the Pythagorean theorem?
2. What are the properties of a right triangle?
3. How do you determine if a triangle is a right triangle given its side lengths?
4. What is the relationship between the legs and the hypotenuse of a right triangle?
5. How does the hypotenuse relate to trigonometric ratios like sine and cosine?

**Tip:** The hypotenuse is always the longest side in a right triangle and is opposite the right angle.

Which segment is the hypotenuse in triangle VYD?

Identify the hypotenuse in the right triangle VYD. Learn about right triangle properties and how the hypotenuse is always the longest side, opposite the right angle. This concept is essential in understanding the Pythagorean theorem and geometry fundamentals. Suitable for Grades 6-8.

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