https://file.aiquickdraw.com/mathbot/file/1738725232143ylbiz84a.jpg

The image you uploaded shows a right triangle with the following information:

- The length of one side is labeled as 12 units.
- The length of the hypotenuse is labeled as 16 units.
- There is a right angle at vertex Σ (denoted by the small square).
- The third side is labeled as **X**.

This appears to be a Pythagorean theorem problem, where you can use the relationship \(a^2 + b^2 = c^2\) to find the missing side \(X\).

To solve for \(X\), we apply the Pythagorean theorem:

\[
12^2 + X^2 = 16^2
\]

Let's calculate it step by step. Given values
a = 12  # One side of the triangle
c = 16  # Hypotenuse

# Applying the Pythagorean theorem to find the missing side (X)
X = (c**2 - a**2)**0.5  # Solving for X

XThe missing side \( X \) is approximately 10.58 units.

Would you like more details on how the Pythagorean theorem works or have any other questions regarding this problem? 

Here are some related questions you might find interesting:

1. How does the Pythagorean theorem apply to non-right triangles?
2. What is the relationship between the angles and sides of a right triangle?
3. How can you use the Pythagorean theorem in 3D space?
4. What are the applications of the Pythagorean theorem in real-world problems?
5. How do you determine if a triangle is a right triangle using the Pythagorean theorem?

**Tip**: Always check the units of measurement when applying the Pythagorean theorem to ensure consistency across all sides of the triangle.

Find the missing side X in a right triangle where one side is 12 units, the hypotenuse is 16 units, and there is a right angle.

Learn how to find the missing side of a right triangle using the Pythagorean theorem. Given one leg as 12 units and the hypotenuse as 16 units, solve for the other leg using the formula a² + b² = c². Step-by-step solution included. Suitable for students in Grades 7-9.

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