To find the area of a right triangle, we use the formula:

$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$

From the image:

• The base is $2$ units.
• The height is $5$ units.

Substituting these values into the formula:

$\text{Area} = \frac{1}{2} \times 2 \times 5 = 5 \, \text{square units}$

Answer:

The area of the triangle is 5 square units.

Would you like more details or have any questions? Here are some related topics:

1. How to find the area of different types of triangles.
2. How to use the Pythagorean Theorem in right triangles.
3. Exploring properties of special triangles (e.g., 30-60-90 or 45-45-90 triangles).
4. Calculating the perimeter of a right triangle.
5. Understanding trigonometric ratios in right triangles.

Tip: Remember that in right triangles, the two shorter sides are the base and height, while the longest side (hypotenuse) is not used for calculating the area directly.